Question

A Norman window has the shape of a rectangle surmounted by a semicircle. Suppose a Norman window is to have a perimeter of 28 ft. Find a function in the variable giving the area of the window.

Step 1

Given that, Norman window has the shape of a rectangle surmounted by a semicircle.

Perimeter of window is 28 ft.

Step 2

Suppose that, height of the rectangle *h *& length of the rectangle is *x*.

Area of the window is *A.*

Step 3

Radius of the semicircle is same as half length of the rectangle.

So,

...

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