Question

Area of the square is 576cm2 find its perimeter

Answer 1

Answer:

The perimeter is 96 cm.

Step-by-step explanation:

The area of a square is, $A=a^{2}$.

Given:

A = 576 cm²

Compute the measure of the side of the square as follows:

$A=a^{2}\\a^{2}=576\\a=\sqrt{576}\\a=24$

The side is 24 cm.

Compute the perimeter of the square as follows:

$Perimeter = 4a\\=4\times 24\\=96$

Thus, the perimeter is 96 cm.

Answer 2

║⊕ANSWER⊕║

GIVEN

Area of the square = 576 cm²

Area of the square = side * side

Let the side of the square be 'a'.

$a * a = 576\\a^{2} = 576\\a=24 cm$

Perimeter of the square

$= 4 * side\\= 4 * 24\\= 96 cm$

∴ The Perimeter of the square is 96 cm.