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Home Q & A Board Science-Related Homework Help Mathematics
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quixie quixie
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8 years ago
A Norman window has the outline of a semicircle on top of a rectangle. Suppose there is 7+pi feet of wood trim available. Find the dimensions of the rectangle (and, hence, the semicircle) that will maximize the area of the window.

a. base: \(\frac{7+pi}{4+pi}\) ft; height: \(\frac{7+pi}{4+pi}\) ft

b. base: \(\frac{2(7+pi)}{4+pi}\) ft; height: \(\frac{2(7+pi)}{4+pi}\) ft

c. base: \(\frac{7+pi}{4+pi}\) ft; height: \(\frac{2(7+pi)}{4+pi}\) ft

d. base: \(\frac{2(7+pi)}{4+pi}\) ft ; height: \(\frac{7+pi}{4+pi}\) ft
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#1
Educator
8 years ago
Similar Question
A Norman window has the outline of a semicircle on top of a rectangle. Suppose there is 3 + π feet of wood trim available. Find the dimensions of the rectangle (and, hence, the semicircle) that will maximize the area of the window

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quixie Author
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#2
8 years ago
Thankies! Your explanation really helped! Smiling Face with Open Mouth
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