The following two shapes are based only on squares, semicircles, and quarter circles. find the perimeter and the area of each shaded part. give your answer as a completely simplified exact value in terms of π (no approximations).

Compute the area of the square: 8^2=64.
Compute the area of quarter circle given radius 8:

Then, find the white region, if only the quarter circle is in the square:

The shaded region has then the following area:
is the area of the shaded region. 

The answer of this question is 672 .