What dimensions yield the maximum area Who are the experts? Experts have been vetted by Chegg as specialists in this subject. x · 8 8 − x. What dimensions would yield the maximum area? What is the maximum area?a) Length (ft) = _____ Width (ft) = The minimum area is also 25 square feet when the length and width are both 5 feet. What dimensions will yield the maximum area? What is the maximum area? Answer by 1. Let's assume the length of the rectangle is x and the width is y. What Question 335951: A farmer has 1000 feet of fence to enclose a rectangular area. Answered 3 years ago. After the division we got 4 W's (2 for entire field, and 2 for Answer the following questions A. What dimensions would yield the maximum area? What is the maximum area? Length (ft)= Show What dimensions for the rectangle result in the maximum area enclosed by the fence? A farmer has 400 feet of fence to enclose a rectangular area. What we can find out is what the maximum length and width of the room Question 337281: A Carpenter is building a rectangular room with a fixed perimeter of 192ft. An architect is designing a rectangular family room with a perimeter of 24 m What dimensions will yield the maximum floor area? What is the maximum floor area? An athletic field with a perimeter of 0. The sides against the wall require no partition. What dimensions would yield the maximum area? What is the maximum area? The length that A Maximum Area Calculator is a valuable tool used to find the dimensions that yield the maximum possible area for a given shape or constrained perimeter. Find the dimensions that give the maximum area in these situations. Let w = width of field then (400-2w)/2 = length of field (200-w) = length of field. Solution. 13 ft by 13 ft; 169 ft? B. What are the dimensions of the rectangle if its area is to be a maximum? Skip to main content. b) Find the domain of the function. Show transcribed image text. 204,800 square feet ; 320 ft. 45 ft by 135 ft: Find the dimensions that maximize the enclosed area. A rancher has 200 feet of fencing to A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. 67 ft by 113. What dimensions for the rectangle result in the maximum area enclosed by the fence? a- express the total area of the two corrals as a function of x b- find the domain of the function c- using the graph if the function shown below determine the dimensions that yield the maximum (c) Find the exact dimensions that yield the maximum area for the pasture by writing the quadratic function in standard form. area A cylindrical can has a volume of 432 pi cm^3. Save Copy. A 400- a 0- What dimensions yield the minimum surface area? Find the volume of a right circular cylinder whose base has an area of 6 cm^2 and whose height is 17 cm. Let L be the length of the room and W be A carpenter is building a rectangular room with a fixed perimeter of 180 ft. The rectangle, triangle, and circle are common shapes where maximizing area is often sought. SOLUTION: A carpenter is building a rectangular room with a fixed perimeter of 344ft. What dimensions would yield the maximum area? Length (ft)= How can you, with polynomial functions, determine the maximum area of a rectangle with a fixed perimeter. Are there dimensions that yield a minimum area? Explain. If she has 32 feet of fencing, what is the maximum area that can be enclosed? What are the dimensions that What dimensions would yield the maximum area? Log in Sign up. What dimensions will produce a maximum area? Area = length * width Let y = the Question 1188850: An architect is designing a rectangular family room with a perimeter of 48\m. To find the dimensions of the maximum area for the The dimensions that provide the maximum area for the garden are 50 feet in length and 25 feet in width, resulting in a total area of 1250 square feet. What is the domain. What dimensions yield the minimum surface area? Round to the nearest About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright Therefore, the dimensions that yield the maximum enclosed area are 10 feet by 10 feet, forming a square. Expert-verified. a) Let be the width of the enclosure (perpendicular to the barn) and let be the length of the enclosure (parallel to TX farmer has 100 metres of fencing to use to make a rectangular enclosure for sheep as shown. To determine the dimensions that Danielle N. In this video, we'll go over an example where Find the dimensions of the rectangular box having the largest volume and surface area 60 square units. Need some help with my algebra homework. For a rectangle with a perimeter of 24 inches, the length The dimensions that yield the maximum area for the rectangular room with a fixed perimeter of 280ft are a length of 70ft and a width of 70ft. Answer the following questions. 5 feet. Of all possible dimensions, the maximum area is 25 square feet when its length and width are both 5 feet. 1 of 9. Step 9: ANSWER: (a) The dimensions for the minimum What are the dimensions of the enclosed area that yields the maximum area using 2400ft of fencing? Using your knowledge of calculus and derivatives, explain why those dimensions do Hence, the dimensions that will give the maximum area are #20# by #26 2/3# feet. What dimensions would yield the maximum area? What is the maximum area? If she has 32 feet of fencing, what is the maximum area that can be enclosed? What are the dimensions that yield this area? A farmer has 60 meters of fencing material and wishes to A carpenter is building a rectangular room with a fixed perimeter of 348 feet. asked • 11/25/17 You have 356 feet of fencing to enclose a rectangular region. What dimensions would yield the maximun area? What is the maximum area? The length that would Of all possible dimensions, the maximum area is 25 square feet when its length and width are both 5 feet. The box must have a surface area of 8 m2. The length is L and the perimeter is W. What dimensions would yield the maximum area? The dimensions ft by ft would yield rectangle of the maximum area. What is the maximum area? The length that would yield the The maximum area of the rectangular room with a fixed perimeter of 396 feet occurs when both the length and width are 99 feet. Eqn(1) As the c^2 term is negative then the graph is of form nn thus it has a maximum and this is the vertex. O, 15) O C. 2. the room has a fixed Find the dimensions that produce the maximum floor area for a one storey house that is rectangular in shape and has a perimeter of 158 feet. There are 2 steps to solve this one. So, when you solve for x, you What dimensions for the printed region maximize its area? Suppose the printed area is x by y. To find the dimensions that would Find the dimensions of the rectangular field of maximum area which can be enclosed with 400 feet of fence. What dimensions would yield the maximum area? Length What dimensions would yield the maximum area? Length (ft) = L and W needed. It is a question about finding maxima. 5 ft by The base will be 4 xx 4 and the height will be 2 (all numbers in feet) Let b be the length and the width of the base (length and width are the same since the base is square). In this problem we want to optimize the volume, meaning What dimensions would yield the maximum area? What is the maximum area? Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website! THe perimeter of What dimensions will yield the maximum area? What is the maximum area? ~~~~~ A rectangle of the given perimeter P, which has maximum area, is a square with the side length one fourth of A carpenter is building a rectangular room with a fixed perimeter of 360 ft. 40 40 ? ?. Expression 1: "y" less than or equal to 0. And it tells us that the perimeter is 1 28 inches. Step 1. Find the minimum and maximum possible Express the area A of the play space as a function of X. What Here it is: What are the dimensions of the largest area of a rectangle with a semicircle on a short side given 80ft of fencing? I am This answer makes sense intuitively, The area formula differs for each shape, and finding the maximum area depends on the shape’s properties. ft. cm3 A rectangular solid with a square base has a volume of 4,096 cubic inches. Suppose that the width of each area is x x x yards. 2- O O Flying too fast or slow wastes fuel. Not the question you’re A carpenter is building a rectangular room with a fixed perimeter of 160ft. Extrema: The word extrema is a general term that refers to either If 900m of fencing are available, what dimensions of the field will produce the maximum area? What is the maximum area? Write a function f(x) to find the area, if x is the length of the fence What dimensions for the total enclosure (rectangle including all pens) will make the area as large as possible? A) 34 ft by 34 ft B) 17 ft by 17 ft C) 22. (0, 30) OD. (Let w represent the length of the sides of the square Finding the maximum area using the vertex of quadratic. 1. What dimensions would yield the maximum area? The dimensions At by ft would yield rectangle of the maximum area. Solutions are written by subject matter 2 To find the maximum area of a rectangle with a fixed perimeter, the shape must be a square, where the length and width are equal 3 Given the perimeter is 392 ft, we can divide this by 2 to A carpenter is building an open box with a square base for holding firewood. Search For Tutors. 6. A carpenter is building a rectangular room with a fixed What dimensions would yield the maximum area? Hint: Write a quadratic function for the area and find the vertex. Recall that maxima and minima occur when the derivative is 0. D. by 640 ft. Explanation: Yes, there are dimensions that yield a minimum area for a rectangle with a Optimization, or finding the maximums or minimums of a function, is one of the first applications of the derivative you'll learn in college calculus. Find A Tutor . Question 290400: a fixed perimeter of 164ft, what dimensions would yield the maximum area? what is the area? Answer by stanbon(75887) (Show Source): You can put this solution on Question 33263: A fourth-grade class decides to enclose a rectangular garden, using the side of the school as one side of the rectangle. How W = cm h = cm (b) Find the maximum volume (in cm). A daycare center has 30 ft of dividers with Suppose the play space is x feet long. Suppose the volume of a The dimensions that yield the maximum area for the rectangular field are a width of 100 feet and a length of 200 feet. What dimensions would yield the maximum area? There are 4 steps What dimensions would yield the maximum area?Question content area bottomPart 1Length (ft)equals enter your response here. What dimensions will maximize the enclosed area? Calculus Applications of Derivatives maximum area? a stonemason has enough stones to enclose a rectangular patio with 60ft of stone wall. 25 miles consists of a rectangle with a semicircle at each end, as shown below. asked • 06/02/18 A farmer has 360 feet of fence to enclose a rectangular area. Are there dimensions that yield a 00:01 Hello, i have a question in this it is given that a rectangular solid with a square base has a surface area 253 . L-6A, W-6A, H-6A 4 6 . This concept is essential in Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing. For achieving maximum area given certain perimeter, the shape should be a . B. The length and width of a rectangle have a sum of 82 units. A carpenter is building a rectangular room with a fixed perimeter of 26 ft. This gives us: 108 = x 2 + 4xh. What is the maximum area that the class can enclose What dimensions would yield the maximum area? Hint: Write a quadratic function for the area and find the vertex. c) Using the graph of the What dimensions would yield the maximum area? Hint: Write a quadratic function for the area and find the vertex. l = the length of the rectangular room, l>0. 73 (the shorter sides with semicircles) Assume the dimensions of a base c) Using the graph of the function shown below, determine the dimensions that yield the maximum area. However, The Perimeter of a rectangle is 20 feet. Let x represent the length Substituting this value for l into our equation for area yields: Find the dimensions that will maximize the area of the parking lot. Thus, the dimensions of the room that yield this maximum Area = L x ( 942 - L ) = 942L - L 2 Now Take the Derivative ol Area wrt to L and set to 0 for maximum 942 - 2L = 0 or L = 471 ( Note 471 + 472 + 471 + 471 = 1884 ) You could also solve for W to get 471 to see the optimum dimensions are a A carpenter is building a rectangular room with a fixed perimeter of 360 ft. 400 400 40 0 0 40 C. w = the width of the rectangular Question 633220: A carpenter is building a rectangular room with a fixed perimeter of 340 ft. The graph of the function is D. Stack Exchange Network. 5 square centimeters. Online Tutoring. What dimensions would yield the maximum area? The rectangle with maximum area should have dimensions L=375 (the longer sides) W=750/pi~~238. . (b) Find t; A rectangular solid with a square base has a surface area of 121. What dimensions yield the minimum surface area? The radius of the can with the minimum To find the largest area, shortest length, etc, using geometry, you'll create two equations related to the shape(s), and plug one intto the other. What dimensions would yield the maximum area? Length (ft)= What dimensions would yield the maximum area? What is the maximum area? Instant Answer: Step 1/8 Step 1: Let's start by defining the variables. what dimensions would yield the maximum area? what is the maximum area? Answer by What dimensions would yield the maximum area? What is the maximum area? Answer provided by our tutors Let. 400 0 。 ao What dimensions yield the maximum area? square feet by square feet. What dimensions would yield the maximum area? what is the maximum area? 2. What dimensions will yield the maximum volume? What is the maximum A carpenter is building a rectangular room with a fixed perimeter of 236 ft What dimensions would yield the maximum area? Length (ft)= Width (ft) = Your solution’s ready to go! Our expert help has broken down your problem into an Question 624861: A carpenter is building a rectangular room with a fixed perimeter of 264 ft. O D. What dimensions would yield the maximum area? A carpenter is building a rectangular room with a fixed perimeter of 364ft. ≤ At this point, you can differentiate with respect to x and set the derivative equal to 0. Optimization: If we are A carpenter is building a rectangular room with a fixed perimeter of 352 ft. What dimensions would yield the maximum area? What is the maximum area? the length that would Question 402284: a carpenter is building a rectangular room with a fixed perimeter of 128 ft. What is the (geometric) significance of the dimensions of this largest possible We can do this by solving the perimeter equation for one of the variables, and then substituting into the area equation; we will end up with area as a function of one variable, What dimensions would yield the maximun perimeter. a) Express the total area of the two corrals as a function of x. There Question: 30] A furniture builder is designing a rectangular end table with a perimeter of 100 inches. A cylindrical can has a volume of 432 pi cm^3. Since the leading coefficient of the square term is negative, the curve turns downward, thus We need to use a proper optimization method to find the dimensions which will give the largest possible area for this rectangle, subject to the constraint that we only have 41 centimeters of A carpenter is building a rectangular room with a fixed perimeter of 260 ft. 40 40 40 What dimensions yield the maximum area? feet by feet . . 1 What dimensions would yeild the maximum area? what is the maximum area? Found 2 solutions by ripplemehta, oberobic: Answer by ripplemehta(3) (Show Source): You can put this solution Q: Find the largest area possible for a rectangle inscribed between the parabola y = 9 – x² and the x- A: Q: x X A rancher has 3000 feet of fencing with which to construct adjacent, equally sized rectangular The surface area will be given by Area of the bottom base (x · x) + area of the 4 lateral surfaces (each is a rectangle with an area of x · h). [0, 30] OB. If no A carpenter is building a rectangular room with a fixed perimeter of 180 ft. This is the only configuration that maximizes the area within the given Maximum Area. This configuration maximizes the use of the available 100 feet of fencing while What dimensions yield the minimum surface area? A cylindrical can has a volume of 250 \pi cm^3. c) Using the graph shown below, determine the dimensions that yield the maximum area. 5 ft. by 320 ft The corrals have the same dimensions and one side in common (let that side be x). What dimensions would yield the maximum area? The dimensions A by ft would yield rectangle of the maximum area, Find step-by-step Calculus solutions and your answer to the following textbook question: The perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum area is 25 square Maximum Area: The largest possible Example Problem 1- How to Determine the Minimum & Maximum Possible Area of a Given Rectangle with Measured Dimensions. The L-plus W will be close to 60 ft. [0, 13] What is the graph of the function? ? ?. How It Works . He will use existing walls for two sides of the enclosure and leave an opening of 2 metres for a gate. If the house forms one side of the rectangle, what should the Area "color(white)("d")->color(white)("dddd")a=250c-c^2" ". What dimensions would yield the maximum area. Request A Tutor. carpenter is building a rectangular room with a fixed perimeter of 352ft. What dimensions yield the minimum surface area? A cylindrical can has a volume of 250 \pi cm^3. Suppose the volume of a circular cylinder is 250 \ \pi \ in^3. Given the fixed To find the dimensions of the largest rectangular room with a fixed perimeter of 180 ft, you can use the understanding that a rectangle with a given perimeter has the maximum The question involves calculating the dimensions that would maximize area given a fixed perimeter. a) Express the total area of the three swimming areas as a function of x x x. What dimensions of the rectangle yield the maximum Area? my attempt: Question: A carpenter is building a rectangular room with a fixed perimeter of 292 ft. He wants to separate his cows and horses by dividing the enclosure into two equal areas. Question. 1 Set up an equation for the perimeter of the rectangle. As a general rule, the maximum area of a rectangle will be the special case when it is a square. What dimensions yield the minimum surface area? The radius of the can with the minimum A carpenter is building a rectangular room with a fixed perimeter of 260 ft. What dimensions would yield the maximum area? Asked in United What dimensions sould yield the maximum area? What is the maximum area? Answer by Alan3354(69442) (Show Source): You can put this solution on YOUR website! Max area is of A carpenter is building a rectangular room with a fixed perimeter of 320 ft. (0, 15) What is the graph of the function? OA A a 400- ов. You can also Expression 1: "x" times left parenthesis, 88 minus "x" , right parenthesis. What dimensions give the What dimensions would yield the. \\ (a) Determine the dimensions that yield the maximum volume. This is the To find the dimensions that yield the maximum area, we can use the concept of calculus and optimization. 33 ft D) 17 ft by 68 ft 6) 7) Find Study with Quizlet and memorize flashcards containing terms like By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting For a rectangle with a perimeter 56 to have the largest area, what dimensions should it have? For a rectangle with a perimeter 40, to have the largest area, what dimensions should it have? A Question: What are the dimensions of a closed rectangular box with a given surface area A which will yield the largest volume? a. Here's the exact problem— You have 28 feet of rabbit-proof fencing to What is the maximum area? I understand the formula P=2l+2w will help solve this, but am unsure how to find the length and width. What dimensions for the rectangle result in the maximum area enlosed by the fence? Answer by c) Using the graph shown below, determine the dimensions that yield the maximum area. Find the dimensions of the rectangular box having the largest volume and surface area What dimensions would yield the maximum area? There are 2 steps to solve this one. Let L be the length of rectangular field, and W its width. This is a question that needs to A beach forms one side of the swimming areas. Find the maximum possible area of a rectangle with a ; A cylindrical can has a volume It is required to find the dimensions and maximum area of a rectangle. What dimensions would yield the maximum area? What is the maximum area?-----The max area is a square. 1) Find the dimensions of the field of area 790 ft2 that would A farmer wishes to enclose a rectangular pasture with 360 ft of fence. What are the dimensions of the largest room that can be built? What is its area? O A. A graphical check of the initial function shows that the vertex is at #(26 2/3, 1066 2/3)#, which Solution: Find the largest area of the rectangle and its dimensions; Solution: Find the area of the largest rectangle that can be inscribed; Solution: Find the area of the largest square that can be inscribed; Solution: Find the largest possible (B) Find the dimensions of the rectangle with perimeter 56 in that has maximum area, and then find the maximum area. Any help you can give is greatly appreciated. What dimensions would yield the maximum area? What is the maximum area? Find the dimensions of a rectangle with perimeter 100 meters whose area is as large as possible. For Students. Verified. y A carpenter is building a rectangular room with a fixed perimeter of 272 ft What dimensions would yield the maximum area What is the maximum area? If the room has to stay rectangular**, If the height of the rectangle is h, write an expression in terms of r and h for the Area and Perimeter of the rectangle. A carpenter is building a rectangular room with a fixed perimeter of 352 ft. Find the dimensions that yield the greatest possible area for the rectangular region. A farmer with 750 ft of fencing wants to enclose a rectangular area You can put this solution on YOUR website! A rectangular field is to enclosed with 600 m of fencing. There’s just one step to solve this. What dimensions yield the minimum surface area? A cylindrical can has a volume of 54 pi cm^3 What dimensions yield the minimum surface VIDEO ANSWER: The carpenter is building a rectangular room with a fixed perimeter. Find the dimensions of the rectangle that maximize the enclosed area. Find the dimensions of the circular cylinder which minimize the surface area. (FIGURE CAN NOT COPY) A summer camp has $240 \mathrm{ft}$ of float line with A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 51. What dimensions yield the minimum surface area? A cylindrical can has a volume of 54 pi cm^3 What dimensions yield the minimum surface All right. So problem number 2 11 assets to find the maximum dimensions of, ah, rectangle that would yields the max a maximum area. 5 square centimeters so rectangular solid with a square base and surface Find the dimensions of the rectangle with max area that can be in a circle with a radius of 10 units. By the way, yes, this could have been stated a carpenter is building a rectangular room with a fixed perimeter of 328 ft. (FIGURE CAN NOT COPY) A car dealership has $24 \mathrm{ft}$ of dividers with which to enclose a rectangular play space in a A carpenter is building a rectangular room with a fixed perimeter of 324 ft. FAQ. What dimensions will yield the maximum area? Solution. A(x)=0 (Do not simplify. (Enter the dimensions (in feet) as a comma [Solved] A carpenter is building a rectangular room with a fixed perimeter of 384 ft. 640 ft. ) What is the domain of the function? O A. What dimensions for the rectangle result If Kyle has 450 feet of fencing, you can find the dimensions that maximize the area of the enclosure. This configuration creates the largest area of 20,000 square What dimensions would yield the maximum area? Hint Write a quadratic function for the area and find the vertex Length (ft)= 0 roctor 1. Let What is the maximum area that the mason can enclose? What should the dimensions of the patio be in order to yield this area? So, the final answer should be dimension of 20 feet by 20 feet A carpenter is building a rectangular room with a fixed perimeter of $54 \mathrm{ft}$. Be sure to show the work that justifies Thus, the maximum area that can be enclosed by 400 meters of fencing is 10,000 square meters, and the dimensions to achieve this maximum area are 100 meters by 100 A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. For a certain Wafa S. 5 feet by 8. ÷. Log In Sign Up. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, What are the dimensions of the In the first case the maximum area is achieved when a side of the rectangle crosses the midpoint of the depicted height; in the second case the maximum area is achieved when a vertex of What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary. What are the dimensions of the largest room that can be built? What is its area? A carpenter is building a rectangular room with a fixed Math Mode. what dimensions would yield the maximum area? what is the maximum area? The length that would What dimensions would yield? The length that would yield the maximum area is __ft? Answer by katealdridge(100) (Show Source): You can put this solution on YOUR website! Area is the A gardener has a rectangular plot of land bordered on one side by a brick wall. Explanation. Its area is Since there are margins of width 3 on the left and right, and margins of width 4 The dimensions that yield the maximum area are 8. 15,000 The dimensions of the garden, when the family has enough money to buy 140 ft of fencing, is 70 ft by 35 ft and the area is 2450 sq. What dimensions will yield the maximum area. 2 x + 2 w = 34 2x + 2w Test the critical point to see if it yields a maximum or minimum value of the function; use second derivative test (SDT) (or first (FDT)) & also consider endpoints.
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