GAUSS7 2003 Problem 18

Two squares, each with side length 5\:cm, overlap as shown. The shape of their overlap is a square, which has an area of 4\:cm^2 . What is the perimeter, in centimetres, of the shaded figure?

Image

Answer Choices
A. 24
B. 32
C. 40
D. 42
E. 50