Question

answer the questions below. write your answers in simplest form. (a) a square has a perimeter of 68 m. what is the length of each side? m (b) a square has an area of 121 cm². what is the length of each side? cm

Explanation:

Step1: Recall perimeter formula for square

The perimeter $P$ of a square is $P = 4s$, where $s$ is the side - length. Given $P = 68$ m. We solve for $s$ by the formula $s=\frac{P}{4}$.
$s=\frac{68}{4}$

Step2: Calculate the side - length

$\frac{68}{4}=17$ m

Step3: Recall area formula for square

The area $A$ of a square is $A = s^{2}$, where $s$ is the side - length. Given $A = 121$ cm². We solve for $s$ by taking the square root of $A$, so $s=\sqrt{A}$.
$s=\sqrt{121}$

Step4: Calculate the side - length

$\sqrt{121}=11$ cm

Answer:

(a) 17 m
(b) 11 cm