Question

Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a number only)

Answer 1

Given:

Area of a square frame = 81 square inches.

To find:

Perimeter of the frame.

Solution:

Let length of each side of the frame = a inches.

Area of square frame is

$Area=a^2$

$81=a^2$

Taking square root on both sides,

$\pm\sqrt{81}=a$

$\pm 9=a$

Side length cannot be negative. So, a=9 inches.

Perimeter of frame is

$Perimeter=4a$

$Perimeter=4(9)$

$Perimeter=36$

Therefore, the perimeter is 36 inches.