Question

a = 9_{m^2} what is the side length of the square? what is the perimeter of the square? side = 3, perimeter = 12 side = 5, perimeter = 20 side = 2, perimeter = 8 side = 4, perimeter = 16

Explanation:

Step1: Recall area formula for square

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 9m^{2}$, we solve for $s$: $s=\sqrt{A}$.

Step2: Calculate the side - length

Substitute $A = 9$ into the formula $s=\sqrt{A}$, so $s=\sqrt{9}=3m$.

Step3: Recall perimeter formula for square

The perimeter formula of a square is $P = 4s$, where $P$ is the perimeter and $s$ is the side - length.

Step4: Calculate the perimeter

Substitute $s = 3$ into the formula $P = 4s$, so $P=4\times3 = 12m$.

Answer:

Side = 3, Perimeter = 12