Question

all of the quadrilaterals in the shape below are squares. find the area of the shaded region.

Explanation:

Step1: Find side - length of shaded square

The side - length of the large square formed by the combination of smaller squares is 9. The side - length of the non - shaded square on the left is 7. The side - length of the shaded square is \(9 - 7=2\).

Step2: Calculate area of shaded square

The area formula for a square is \(A = s^2\), where \(s\) is the side - length. Substituting \(s = 2\) into the formula, we get \(A=2^2 = 4\).

Answer:

4