3420.28 – Shaded Square Area

The figure consists of squares and isosceles triangles. What percent of the entire figure is unshaded?

Solution

Consult the figure below. After some clever rearranging, we see 5 shaded squares and 3 unshaded ones. So apparently 38=37.5%\dfrac{3}{8} = 37.5 \% of the figure is shaded.