Construct a window whose middle is a rectangle and the top and bottom of the window are semi-circles. If we have 50 meters of framing material what are the dimensions of the window that has the largest area?

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Q: A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

A: Given the area of rectangular picnic is 8000 m2 is being constructed along the edge of a river. It…

Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

A: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

Q: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of…

A: Solution:- calculate the value of base by using pythagores therorm.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: A Norman window has the shape of a rectangle surmounted by a semicircle. This implies that the…

Q: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a  depth of 3…

A: Given a rectangular pool of length 50m, width 25m and a depth of 3m. A client wants to build a pool…

Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side…

A: Given: A rectangle inscribed in an equilateral triangle of side L assuming one side of the rectangle…

Q: 28, g6) = 2x2 [,3],8 reclanyles

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Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: In the given question we have to find the value of maximum area that can be enclosed by the fence.

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Q: A semielliptic archway has a height of 15 feet at the center and a width of 50 feet. The 50 foot…

A: Given that the semi elliptic archway of height of 15 feet at the centre and the width of 50 feet,…

Q: An isosceles triange is to be drawn with its two equal sides of length 10. What is the maximum…

A: Let the third side is of the length x. From the property of the triangle, if AB = AC then BM = MC =…

Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: Given is the window consists of a rectangle surmounted by a semicircle of perimeter 32ft. Consider…

Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 12…

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Q: Find the area of an equilateral triangle with radius 2V3.

A: Known fact: The area of equilateral triangle is given by A=34a2 where a is side length of…

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Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius r

A: Let the length of the rectangle be 2x and the width of the rectangle be y. From the figure, the…

Q: A Norman window consists of a rectangle surmounted by a semicircle. What shape gives the most light…

A: Given: The window consists of a rectangle surmounted by a semicircle. Let b be the breadth of the…

Q: What is the area of the largest rectangle that can be inscribed in a semi-circle of radius 8 units?

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Q: What is the largest area of a rectangle that could be inscribed in a semi circle having a radius of…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the circle is given…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given  Total length of the fence=2500 m Letl=length of the plotb=width of the plot

Q: A jeweler has three small solid spheres made of gold, of radius 2 mm, 3 mm, and 4 mm. He decides to…

A: Let the radius of large sphere be x. The volume of the large sphere is 43πx3. Model the equation for…

Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 8…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

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Q: Find the area of the largest rectangle that fits inside a semicircle with a radius of 4.

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Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

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Q: A window is being built with the lower part being a rectangle and the top part being a semicircle…

A: Window shape- A rectangle with dimension (h×2r) and a semi circle with radius r. Framing material…

Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius 10. *

A: From the given figure we can derive length and breadth. below are the steps.

Q: A poster must have 32 sq. in with margins of 4" each at t side. Find the dimensions o"

A: Given: A poster must have 32 sq. in. of printed matter.

Q: A farmer wants to construct a rectangular pigpen using [ 100 ] ft of fencing. The pen will be built…

A: we know that the area of rectangle = length × width and length of the fencing = 100 ft So we can…

Q: Choose two figures which are topologically equivalent to each other 20 L.

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Q: If the volume of a sphere is 2304 cm cubed. Then what is the radius.  Can you please show the…

A: →Volume of sphere is given by,                                                 V = 43π r3

Q: A 50cm board leans against a wall to make a shape of a right angled triangle. What is the max…

A: To find the max perimeter of the right angled triangle.

Q: . What is the largest area of a rectangle that could be inscribed in a semi circle having a radius…

A: We have to find largest area of rectangle that can be inscribed in a semicircle having a radius of…

Q: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

A: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

Q: Find the longer dimension of the rectangle enclosed in a semicircle y=/144- x2 with the largest…

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Q: Find the area of the largest rectangle that fits into the triangle with sides х — %3D1 ахis, у —…

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Q: A geometry student wants to draw a rectangle inscribed in a semicircle of radius 4. If one side must…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Let a and b be the sides of a retangular fence.

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius 6…

A: Please refer the attached image for complete solution.

Q: The standard running track size for track and field events is 400 m. The track consists of two…

A: Given that: Size of the track = 400 m Area enclosed = 9430 m2

Q: Determine the dimensions of the largest rectangle that could be inscribed in a semi-circle of radius…

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Q: The end of a tough is an isosceles trapezoid of bases 24 inches and 36 inches, and non-parallel…

A: Given that: Bases of the isosceles trapezoid is 24 and 36 inches. Non parallel sides = 18 in, Length…