Question

1. find the area of a square if its side length is:

a. 3 inches
b. 7 units
c. 100 cm
d. 40 inches
e. x units

Explanation:

Part a: Side length = 3 inches

Step1: Recall area of square formula

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

Step2: Substitute \( s = 3 \) inches

Substitute \( s = 3 \) into the formula: \( A = 3^2 \)

Step3: Calculate the result

\( 3^2 = 9 \) square inches.

Part b: Side length = 7 units

Step1: Use area of square formula

\( A = s^2 \), with \( s = 7 \) units.

Step2: Substitute and compute

\( A = 7^2 = 49 \) square units.

Part c: Side length = 100 cm

Step1: Apply area formula

\( A = s^2 \), \( s = 100 \) cm.

Step2: Calculate

\( A = 100^2 = 10000 \) square centimeters.

Part d: Side length = 40 inches

Answer:

s:
a. \( \boldsymbol{9} \) square inches
b. \( \boldsymbol{49} \) square units
c. \( \boldsymbol{10000} \) square centimeters
d. \( \boldsymbol{1600} \) square inches
e. \( \boldsymbol{x^2} \) square units