Question

1. enter your answer.

what is the side length of a square that has an area of 81 square units? explain.

Explanation:

Step1: Recall the area formula for a square

The area \( A \) of a square is given by the formula \( A = s^2 \), where \( s \) is the length of a side.

Step2: Substitute the given area and solve for \( s \)

We know that \( A = 81 \) square units. Substituting into the formula, we get \( 81 = s^2 \). To find \( s \), we take the square root of both sides. Since the side length of a square must be positive, we consider the positive square root. So, \( s=\sqrt{81} \). Calculating the square root, we know that \( 9\times9 = 81 \), so \( \sqrt{81}=9 \).

Answer:

The side length of the square is 9 units. This is because the area of a square is calculated by squaring the side length (\( A = s^2 \)). Given the area is 81 square units, we solve \( s^2 = 81 \) by taking the positive square root, so \( s=\sqrt{81}=9 \).