A rectangle has a fixed perimeter of 12. Find the dimensions of the rectangle so that its area is maximized.

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A: According to given question we have where AB = 14 , BC = 12EF =BD = x and FD=EB = yArea of the…

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Q: A rectangular corral of 726 square meters is to be fenced off and then divided by a fence into two​…

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Q: a. A rectangular pen is built with one side against a barn. If 400 m of fencing are used for the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: a. A rectangular pen is built with one side against a barn. If 2500 m of fencing are used for the…

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Q: Of all rectangles with a fixed perimeter of P, which one has the maximum area? (Give the dimensions…

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Q: rectangular pen is built with one side against a barn. If 300 m of fencing are used for the other…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

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Q: A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut…

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Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

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Q: A farmer wants to build a riding arena in the shape of a rectangle topped by two semicircles. Find…

A: If you like the solution then please give it a thumbs up.. The Answer is:      Maximum Area = 160652…

Q: Of all rectangles with a fixed perimeter of P, which one has the maximum area? (Give the dimensions…

A: Let the length of a rectangle is x  Let the width of the rectangle be y

Q: Two hundred forty meters of fencing is available to enclose a rectangular playground. What should be…

A: Consider the given perimeter of the rectangle as P=240m

Q: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

A: Using Lagrange multiplier to find the dimension of rectangle whose area is maximum

Q: e) A farmer wishes to enclose three pens with fencing, as shown. If the farmer has 700 feet of…

A: 700 feet of fencing to work .

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Q: Suppose you are designing a rectangular room with a fixed perimeter of 60 ft, use the method of…

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Q: 6] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

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Q: A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land . One boundary of…

A: Given: A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land . One…

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A: I have solved the 4th question for you since you have marked it. As per guidelines, we are supposed…

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Q: 10. A farmer has 400 feet of fencing to enclose two adjacent sheep corrals. What should be the…

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Q: . A window consists of an open rectangle topped by a semicircle and is to have a perimeter of 288…

A: It is given that the perimeter, P of the window is 288 inches and we have to radius of semicircle…

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

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Q: 1. Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle…

A: From the given problem:   Perimeter=P=1000 m   Let the length of the rectangle 'abcd' is 'X' and…

Q: if the hypotenuse of a right triangle is 25, show that the area is a maximum of it is isosceles

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Q: An isosceles triangle has a perimeter of 30cm. What is the length of the base if its area is to be…

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Q: Find the dimensions of a rectangle with area 100 m? whose perimeter is as small as possible? Find…

A: to find:- dimensions of the rectangle. minimum perimeter.

Q: If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the…

A: x = length of the rectangle y = width of the rectangle fencing =648 ft hence 2x + 3y = 648 x…

Q: A farmer has 3000 m if fencing on hand. Determine the dimensions of a rectangular fencing that…

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Q: A rectangular building covering 6,000m2 is to be built on a lot as shown in the figure. If the…

A: Minimize area