.A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure. Suppose there is 8 + n feet of wood trim available. Discuss why a window designer might want to maximize the area of the window. Find the dimensions of the rectangle (and, hence, the semicircle) that will maximize the area of the window.

Q: Question 2: Anopentop box is to be made by cutting congruent squares of side length x from each…

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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…

A: Let the width of the pen = x ft So length = (2500-2x)ft So area of the pen is: Answer(a):

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

A: Note:- As per our guidelines, we'll answer the first one as both are different question. Please…

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A: Given that: Volume of container = 108 in3

Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: As per the guidelines we are supposed to answer only first question and rest can be reposted..

Q: Farmer Ed has 550 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A:

Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

A: I am attaching image so that you understand each and every step.

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

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Where should he cut the wire so that the sum of the areas of the square and the circle is maximized?

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Q: 2. A rancher from above needs two equal adjacent rectangular pens that share a fence in the middle.…

A: Given that ,Rancher needs two equal adjacent rectangular pens with a fence in middle. this can be as…

Q: Farmer Ed has 900 meters of fencing, and wants to enclose a rectangular plot that borders on a…

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: The area of a rectangle is A = bh. Given the perimeter of the rectangle is 2b + 2h = 32, what…

A: The perimeter of the rectangle is, 2b+2h=322b+h=32b+h=322b+h=16b=16-h   The area of the rectangle…

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A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the…

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

Q: A farmer decides to enclose a rectangular field using the side of a barn as one side of the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: An architect is asked to design a game room in the shape of an isosceles trapezoid where the non…

A: Let's find fourth side length for maximum area.

Q: 7. A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure.…

A: The available wood trim is 8+π. The window the of the shapes semi-circle and rectangle.

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

A: a) Let x represents the width of the pen and y represents the length of the pen. Given that, the…

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 .

Q: Farmer Ed has 800 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: To find- Width , Length and the largest area that can be enclosed.

Q: A rectangle is bounded by the x-axis and the semicircle  y = square root of (49-x^2)  (see figure).…

A: Let the length along the x axis is = 2x So the height= 49-x2 So the area is: A=2x49-x2

Q: A rectangular building covering 16000m2  is to be built on a lot shown in this picture. If the…

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Q: Given: The area of a rectangle is A = bh. If the perimeter of the rectangle is 2b + 2h = 32, what…

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Q: 4-Find the length and width of a rectangle with perimeter 100 m that maximize the a

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

Q: A farmer wants to make three identical rectangular enclosures along a straight river, as in the…

A:

Q: A farmer wants to fence in three sides of a rectangular field shown below with 1,020 feet of…

A: The figure containing the rectangular field with a fence a fence and river on one side is shown…

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Q: 17. A Norman window is a rectangle with a semi-circle on top. If the perimeter of the window is 24…

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Q: Farmer Ed has 450 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: To find: The length, width and the area of rectangular plot.

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

A: perimeter is sum of all side of a triangle

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A: Given: Perimeter of semi circlep=20 feet. Objective is to find radius of semicircle if the area of…

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

A: Earrings can be made of the form isosceles triangle. ie., two adjecents sides are equal. Base of the…

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

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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: The frame for a kite is to be made from six pieces of wood. The four exterior pieces have been cut…

A: The length of the sides AD=AB=aThe length of the sides BC DC b  The length of the diagonal BD is…

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

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Q: piece of wire L m long is cut into two pieces. One piece is bent into a square and the other is bent…

A: According to the given problem , A piece of wire L m long is cut into two pieces and let first piece…

Q: Farmer Ed has 550 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: SOLUTION-

Q: a. A rectangular pen is built with one side against a barn. If 1200 m of fencing are used for the…

A:

Q: The back of Jake's property is a creek. Jake would like to enclose a rectangular area, using the…

A:

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

A: Minimize area