A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the width of the rectangle.See the figure.If the perimeter of the window is 20 feet, what dimensions will admit the most light (maximize the area)?

Q: A rancher has 800 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: Given that the total Fencing is 800 feet To find the dimensions of the enclosed area that maximize…

Q: John wants to enclose his rectangular garden. One side of his garden is up against his house. If he…

A: Given that  John wants to enclose his rectangular garden. One side of his garden is up against his…

Q: A rectangular lot has a perimeter of 80m. If its lot area is to be maximized, what is its length? *

A: Let the Length of the rectangle be:  x Let the Width of the rectangle be: y It is given that the…

Q: 5. Find the dimensions of the rectangle in the figure shown below that will give the maximum…

A: let's assume length of rectangle is yfeet now, equating perimeterP of given figure with 12feet so,…

Q: Farmer Dan has 24 feet of fencing. He is going to build a rectangular pen and use natural-number…

A: Given fencing leanth. 24 feet

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Q: a. A rectangular pen is built with one side against a barn. If 2200 m of fencing are used for the…

A: a)find the dimensions maximize the area of the pen

Q: Hannah wants to enclose her rectabgle garden to keep animals out. one side of garden is against…

A: If x, y are length and width width of rectangle respectively then area of rectangle is xy. Length of…

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A: Let, x=the width and diameter of the windowL=the rectangle portion tength of the window.radius of…

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…

Q: a. A rectangular pen is built with one side against a barn. If 1500 m of fencing are used for the…

A: a. Let the dimensions of the pen be x m and y m.  Now, the length of the perimeter to be covered by…

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2500 yd…

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Q: The sum of the sides of an isosceles triangle is 24ft. find the lengths of the sides that maximize…

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Q: A canvas wind shelter for the beach has a back, two square sides, and a top. If 96 square feet of…

A: Given :           Let x be the length, and y be the width and height             Volume = xy2Surface…

Q: A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A:

Q: . A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: l+2w=1400; l=1400-2w; l=2(700-w); are=lw ; so, lw=2(700-w)w =(1400w-2w^2);  to maximize,…

Q: A wire 16 feet long has to be formed into a rectangle. What dimensions should the rectangle have to…

A: Given: Length of the wire = 16 feet Assumptions: Let x, y be the length and width of the rectangle…

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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: A rancher wants to build a rectangular corral for his horses. He also wants to split the corral into…

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Q: 3. A 5,000 m? rectangular area of a field is to be enclosed by a fence, with a moveable inner fence…

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Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b…

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Q: A rectangular lot has a perimeter of 80m. If its lot area is to be maximized, what is its length?

A:

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: Find the dimensions of a rectangle with are is 625 m^(2) whose perimeter is as small as possible.

A: Let x=Length and y=Width of rectangle. From the question, Area of rectangle is 625 m2 Area=xy=625…

Q: Consider a rectangle that has a perimeter of 40 inches. What are the dimensions (width and length)…

A: Given perimeter of rectangle=40 inches

Q: 4) The sum of the bases and altitude of an isosceles trapezoid is 36cm. find the altitude if the…

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Q: The sugarcane plantation below has an area of (x 2 + 5x + 6) hm^2 . What are its possible…

A: Given:- The sugarcane plantation below has an area of (x 2 + 5x + 6) hm^2 . To find:- Possible…

Q: A rancher has 960 feet of fencing to construct six​ corrals, as shown in the figure. Find the…

A: Given: Length of rancher = x Width = y Fencing = 960 feet:   To find: Maximum possible are with…

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

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Q: Suppose that 477 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given that: Length of total fencing =477ft                             NOTE: As per our answering…

Q: In order to properly feed her animals, a rancher needs to enclose a total area of 4704 square feet…

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Q: A golden rectangle is a rectangle whose length is approximately 1.6 times its width. The early…

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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: A track and field area is to be constructed in the shape of a rectangle with semicircles at each…

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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: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

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Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

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Q: Given that the perimeter of an isosceles triangle has 26 cm. If we want to maximized its area, what…

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1400…

A: Given,          A lifeguard needs to rope off a rectangular swimming area in front of Long Lake…

Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

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Q: A rancher has 244ft of fencing with which to build a rectangular corral alongside an existing fence.…

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Q: .A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure.…

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Q: A rancher has 320 ft of fencing with which to build a rectangular corral alongside an existing…

A: In a rectangle, the opposite sides are equal to each other. Consider, one of the side lengths of the…

Q: A Norman window has the shape of a rectangle surmountedby a semicircle. (Thus the diameter of the…

A: A Norman window has the shape of a rectangle surmountedby a semicircle. Let length of rectangle =2y…

Q: Find the dimensions of the rectangle in the figure shown below that will give the maximum area, if…

A:

Q: find the lenght and width of a rectangle that has the given perimeter and a maximum area perimeter:…

A: We have to find the lenght and width of a rectangle that has the given perimeter and a maximum…