Question

a square has a perimeter of 24 inches. what is its area in square inches?
a. 16
b. 24
c. 36
d. 144

Explanation:

Step1: Find side - length of square

The perimeter formula of a square is $P = 4s$, where $P$ is perimeter and $s$ is side - length. Given $P=24$ inches, we solve for $s$: $s=\frac{P}{4}=\frac{24}{4}=6$ inches.

Step2: Calculate area of square

The area formula of a square is $A = s^2$. Substitute $s = 6$ inches into the formula: $A=6^2 = 36$ square inches.

Answer:

C. 36