Question

problems 5–7: determine the area of each square given its side length.

1. side length: 3 inches
2. side length: 100 centimeters
3. side length: x units

problems 8–10: here are the areas of three squares. determine the side length of each square.

1. area: 81 square inches
2. area: \\(\frac{4}{25}\\) square centimeters
3. area: \\(m^2\\) units

Explanation:

Problem 5:

Step1: Recall area of square formula

The area \( A \) of a square with side length \( s \) is given by \( A = s^2 \).

Step2: Substitute side length

Here, \( s = 3 \) inches. So, \( A = 3^2 = 9 \) square inches.

Step1: Recall area of square formula

The area \( A \) of a square with side length \( s \) is \( A = s^2 \).

Step2: Substitute side length

Given \( s = 100 \) centimeters. Then, \( A = 100^2 = 10000 \) square centimeters.

Step1: Recall area of square formula

The area \( A \) of a square with side length \( s \) is \( A = s^2 \).

Step2: Substitute side length

Here, \( s = x \) units. So, \( A = x^2 \) square units.

Answer:

9 square inches

Problem 6: