A norman window has the shape of a square with a semicircle mounted on it. The total surface area of the window is about 205.28ft^2. Find the following: A) The width and the height of the window. B) The perimeter of the window.

Question

aum · Answer

Assume the side of the square to be "x" feet.

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Total surface area of the window = Area of square with side 'x' + Area of semi-circle with radius 'x/2'.  Find the total surface area, equate it to 205.28 and solve for x.  Then for B) find the total perimeter by adding three sides of a aquare and the circumference of a semi-circle.