A Norman window is constructed by adjoining a semi circle to the top of an ordinary rectangular window (See Figure Below). Find the dimensions of a Norman window of maximum area when the total perimeter is equal to 16 feet

Question

anonymous · Answer

Here is the picture
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anonymous · Answer

I know to solve this problem, you use optimization from Calculus.

anonymous · Answer

But am really confused >.<

hartnn · Answer

could you find total perimeter ?
and total area?

anonymous · Answer

I know that the total Area is this...$$A=x*y+(\frac{ x^2 }{ 4 }*\pi)$$

hartnn · Answer

correct.

anonymous · Answer

And perimeter is equal to
$$P=x+2y+(x \pi)$$

hartnn · Answer

nopes

anonymous · Answer

16=x+2y+(x*pi)?

hartnn · Answer

are you sure it is x*pi ?? or x*pi/2 ?

anonymous · Answer

True, it is a semicircle. Now what?

anonymous · Answer

This is where I am confused and do not know where to go.