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 1

By definition, the area of the square is given by:

$A = L ^ 2$

Where,

L: length of the sides of the square

Substituting values we have:

$L^2 = 81$

From here, we clear the length of the sides:

$L = \sqrt{81}$

$L = 9$

Then, the perimeter of the square is given by:

$P = 4L$

Substituting values we have:

$P = 4 (9)$

$P = 36$

Answer:

The perimeter of the frame is:

$P = 36$