Optimization help
A Norman window is a single window that has the shape of a semicircle above a rectangle so that the diameter of the semicircle is equal to the width of the rectangle.
Suppose that a Norman window has an outside perimeter of 43 feet.

What is the area of the entire window as a function of r and h, where r is the radius of the semicircular part and h is the height of the rectangular part?
Area = square feet.

What is the area of the entire window as a function of r only?
A(r) = square feet.

What is the largest possible area of such a Norman window (one with outside

Question

Optimization help
 A Norman window is a single window that has the shape of a semicircle above a rectangle so that the diameter of the semicircle is equal to the width of the rectangle.
Suppose that a Norman window has an outside perimeter of 43 feet.

What is the area of the entire window as a function of r and h, where r is the radius of the semicircular part and h is the height of the rectangular part?
Area = square feet.

What is the area of the entire window as a function of r only?
A(r) = square feet.

What is the largest possible area of such a Norman window (one with outside

anonymous · Answer

i remember this problem
never did it though 
how far did you get?

anonymous · Answer

I have the two equations needed for the perimeter but the way my professor wants me to type in the answers is confusing

anonymous · Answer

|dw:1415082041985:dw|
p=x+2y+pir