SOLUTION: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 36.900 ft. give the area A of the window in square feet when the width is
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Question 918319: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 36.900 ft. give the area A of the window in square feet when the width is 7.500 ft. Give the answer to two decimal places.
I tried multiplying the 7.500 by 2 and subtracting the total from the 36.900. Then I divided that number by two and multiplied the result by 7.500. Can you help?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The window looks like this:
The is 3 sides of the rectangle (1 width and 2 lengths) plus the half circumference at the top.
If the width is 7.5 ft, that is also the diameter of the semicircle,
so the circumference would be and half a circumference is .
We have the bottom (the width) and the top (the half circumference), adding up to
feet.
The rest of the perimeter is the 2 vertical sides, (2 lengths of the rectangle), so
In approximate numbers,
feet.
The area is the area of the rectangle part plus half of a circle.
square feet (rounded to 2 decimal places).
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