Question

answer the questions below. write your answers in simplest form.
(a) a square has a perimeter of 52 m. what is the length of each side?

m
(b) a square has an area of 9 cm². what is the length of each side?

cm

Explanation:

Step1: Recall square - perimeter formula

The perimeter $P$ of a square is $P = 4s$, where $s$ is the side - length. Given $P = 52$ m, we solve for $s$.
$52=4s$

Step2: Solve for $s$

Divide both sides of the equation by 4: $s=\frac{52}{4}=13$ m

Step3: Recall square - area formula

The area $A$ of a square is $A = s^{2}$, where $s$ is the side - length. Given $A = 9$ cm², we solve for $s$.
$s^{2}=9$

Step4: Solve for $s$

Take the square root of both sides. Since $s>0$ (side - length cannot be negative), $s = \sqrt{9}=3$ cm

Answer:

(a) 13 m
(b) 3 cm