Question

the area of a square is 49 square inches. what is the length of one side of the square?

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 one side of the square.

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

We know that the area \( A = 49 \) square inches. So we set up the equation \( 49 = s^2 \). To find \( s \), we take the square root of both sides. Since the length of a side cannot be negative, we consider the positive square root. So \( s=\sqrt{49} \).

Step3: Calculate the square root

We know that \( \sqrt{49} = 7 \) because \( 7\times7 = 49 \).

Answer:

The length of one side of the square is 7 inches.