Question

section a: what are ratio
problem 3
a. a square is 3 inches by 3 inches. what is its area?
b. a square has a side length of 5 feet. what is its area?
c. the area of a square is 36 square centimeters. what is the length of each side of the square?

Explanation:

Part a

Step1: Recall square area formula

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

Step2: Substitute side length

Here, \( s = 3 \) inches. So, \( A = 3 \times 3 \).

Step3: Calculate the product

\( 3 \times 3 = 9 \).

Step1: Recall square area formula

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

Step2: Substitute side length

Here, \( s = 5 \) feet. So, \( A = 5^2 \).

Step3: Calculate the square

\( 5^2 = 25 \).

Step1: Recall square area formula

The area \( A \) of a square is \( A = s^2 \), where \( s \) is the side length. We need to find \( s \) when \( A = 36 \) square centimeters.

Step2: Solve for \( s \)

Take the square root of both sides: \( s = \sqrt{A} \).

Step3: Substitute \( A = 36 \)

\( s = \sqrt{36} \).

Step4: Calculate the square root

\( \sqrt{36} = 6 \).

Answer:

The area of the square is 9 square inches.

Part b