Question

answer the questions below. write your answers in simplest form. (a) a square has a perimeter of 60 yd. what is the length of each side? (b) a square has an area of 36 ft². what is the length of each side?

Explanation:

Step1: Recall square - perimeter formula

For a square, the perimeter $P = 4s$, where $s$ is the side - length.

Step2: Solve for side - length in part (a)

Given $P = 60$ yd, and $P = 4s$. Then $s=\frac{P}{4}$. Substitute $P = 60$ yd into the formula: $s=\frac{60}{4}=15$ yd.

Step3: Recall square - area formula

For a square, the area $A=s^{2}$, where $s$ is the side - length.

Step4: Solve for side - length in part (b)

Given $A = 36$ ft², and $A = s^{2}$. Then $s=\sqrt{A}$. Substitute $A = 36$ ft² into the formula: $s=\sqrt{36}=6$ ft.

Answer:

(a) 15 yd
(b) 6 ft