Question

1. determine the side length of a square with an area of 900 cm².

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 \( A = 900 \, \text{cm}^2 \). So we have the equation \( 900 = s^2 \).

Step3: Solve for \( s \)

To find \( s \), we take the square root of both sides of the equation. Since the length of a side cannot be negative, we consider the positive square root. So \( s=\sqrt{900} \).
We know that \( \sqrt{900} = 30 \) because \( 30\times30 = 900 \).

Answer:

The length of the side of the square is \( 30 \, \text{cm} \).