Question

1. find the area of the shaded region. 8x 9 9 8x

Explanation:

Step1: Find area of outer square

The side - length of the outer square is $8x$. The area formula for a square is $A = s^2$, so the area of the outer square $A_{outer}=(8x)^2=64x^{2}$.

Step2: Find area of inner square

The side - length of the inner square is $9$. The area formula for a square is $A = s^2$, so the area of the inner square $A_{inner}=9^2 = 81$.

Step3: Find area of shaded region

The area of the shaded region $A$ is the area of the outer square minus the area of the inner square. So $A=A_{outer}-A_{inner}=64x^{2}-81$.

Answer:

$64x^{2}-81$