In the diagram adjacent edges are at right angles. The four longer edges are equal in length, and all of the shorter edges are also equal in length. The area of the shape is 528 . What is the perimeter?
(A) 132
(B) 264
(C) 92
(D) 72
(E) 144

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-154.jpg?height=496&width=520&top_left_y=752&top_left_x=1388)
Solution

Since all of the shorter edges are equal in length, the diagram can be subdivided into 33 small squares, as shown. Each of these squares has area $\frac{528}{33}=16$ and the length of each side is $\sqrt{16}=4$.

By counting, we find 36 sides and a perimeter of 144 .

![](https://cdn.mathpix.com/cropped/2024_04_20_688a3b42f69739f2e244g-290.jpg?height=485&width=499&top_left_y=1725&top_left_x=1431)

ANSWER: (E)