Question

all of the quadrilaterals in the shape below are squares. find the area of the shaded region.
image of a geometric figure with squares, side lengths 16 and 8 marked

Explanation:

Step1: Find side of small white square

The side length of the large left square is 16, and the side length of the small top-right square is 8. The side length of the bottom small white square is $16 - 8 = 8$.

Step2: Find side of shaded square

The side length of the shaded square is equal to the side length of the large left square minus the side length of the small white square: $16 - 8 = 8$.

Step3: Calculate area of shaded region

The shaded region is a square, so its area is the square of its side length: $8 \times 8 = 64$.

Answer:

64