SOLUTION: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 21 feet, express the area A of the window as a function of the width x (a
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Question 1013807: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 21 feet, express the area A of the window as a function of the width x (across the base) of the window.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
First find the perimeter of just
the semi-circular top of the window
( half of the perimeter of the circle )
------------------
Now subtract this result from ft
This result is twice the length of the rectangle
plus the width.
Let = the length of the rectangle
-------------------------
The area of the rectangular part is:
The area of the semi-circle is:
Hope I got it!
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