Question

answer the questions below. write your answers in simplest form.
(a) a square has a perimeter of 100 cm. what is the length of each side?
□ cm
(b) a square has an area of 4 m². what is the length of each side?
□ m

Explanation:

Step1: Recall perimeter formula for square

The perimeter $P$ of a square is $P = 4s$, where $s$ is the side - length. Given $P = 100$ cm. We solve for $s$ by the formula $s=\frac{P}{4}$.
$s=\frac{100}{4}$

Step2: Calculate the side - length

$\frac{100}{4}=25$ cm

Step3: Recall area formula for square

The area $A$ of a square is $A = s^{2}$, where $s$ is the side - length. Given $A = 4$ m². We solve for $s$ by taking the square root of $A$, i.e., $s=\sqrt{A}$.
$s=\sqrt{4}$

Step4: Calculate the side - length

$\sqrt{4}=2$ m

Answer:

(a) 25
(b) 2