Question

1. what is the side length of a square that has an area of 64 square centimeters?

Explanation:

Step1: Recall the formula for the area of 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 into the formula

We know that the area \( A = 64 \) square centimeters. So we set up the equation \( 64 = s^2 \).

Step3: Solve for \( s \)

To find \( s \), we take the square root of both sides of the equation. So \( s=\sqrt{64} \). Since the length of a side cannot be negative, we consider the positive square root. \( \sqrt{64} = 8 \).

Answer:

The side length of the square is 8 centimeters.