Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the area of a square is 64 square centimeters. find the perimeter of th…

Question

the area of a square is 64 square centimeters. find the perimeter of the square.
a 82 square centimeters
b 64 centimeters
c 16 centimeters
d 128 centimeters
e 32 centimeters
f 64 square centimeters

Explanation:

Step1: Find the side length of the square

The area formula of a square is \(A = s^{2}\), where \(A\) is the area and \(s\) is the side - length. Given \(A = 64\space cm^{2}\), then \(s=\sqrt{64}=8\space cm\).

Step2: Calculate the perimeter of the square

The perimeter formula of a square is \(P = 4s\). Substitute \(s = 8\space cm\) into the formula, \(P=4\times8 = 32\space cm\).

Answer:

E. 32 centimeters