# How do you maximize a window that consists of an open rectangle topped by a semicircle and is to have a perimeter of 288 inches?

##### 1 Answer

Jul 1, 2015

I found two values, for the width and height (of the rectangular part) of your window:

#### Explanation:

Considering your window as:

Perimeter is:

so:

Area is:

Maximize the area deriving it and setting it equal to zero:

so that

So from (1):

Where I used for the semicircle:

Perimeter

Area