Question

1. area = $\frac{36}{49}$ yd$^2$

$s$

Explanation:

Step1: Recall square area formula

The area of a square is $A = s^2$, where $s$ is the side length.

Step2: Substitute given area

Set $s^2 = \frac{36}{49}$

Step3: Solve for side length

Take the square root of both sides: $s = \sqrt{\frac{36}{49}} = \frac{\sqrt{36}}{\sqrt{49}} = \frac{6}{7}$

Answer:

The side length $s$ of the square is $\frac{6}{7}$ yards.