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

Let the side - length of the shaded square be $x$. The side - length of the large square is composed of two parts. If we consider the horizontal and vertical lengths, we can see that the side - length of the large square is $13$ and $8 + x$. So, $8 + x=13$. Solving for $x$, we get $x = 13 - 8=5$.

Step2: Calculate area of shaded square

The area formula for a square is $A = s^2$, where $s$ is the side - length. Here, $s = 5$, so $A=5^2 = 25$.

Answer:

25