Question

what is the side length of a square that has an area of 289? what is the perimeter of a square that has a side length of 9?

Explanation:

Step1: Recall area formula

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 289$, we solve for $s$: $s=\sqrt{A}=\sqrt{289}=17$.

Step2: Recall perimeter formula

The perimeter formula of a square is $P = 4s$, where $P$ is the perimeter and $s$ is the side - length. Given $s = 9$, we calculate $P$: $P=4\times9 = 36$.

Answer:

1. 17
2. 36