Question

the area of a square is 72 in². find the perimeter of the square.
o 6√2 inches
o 24√2 inches
o 10√2 inches
o 144 inches

Explanation:

Step1: Find side - length of square

Let the side - length of the square be $s$. The area formula of a square is $A = s^{2}$. Given $A = 72$ in$^{2}$, then $s^{2}=72$, and $s=\sqrt{72}=\sqrt{36\times2}=6\sqrt{2}$ inches.

Step2: Calculate perimeter of square

The perimeter formula of a square is $P = 4s$. Substitute $s = 6\sqrt{2}$ into the formula, we get $P=4\times6\sqrt{2}=24\sqrt{2}$ inches.

Answer:

B. $24\sqrt{2}$ inches