Question

answer the questions below. write your answers in simplest form.
(a) a square has a perimeter of 56 cm. what is the length of each side?

cm
(b) a square has an area of 100 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 $P = 56$ cm, we solve for $s$.
$56=4s$

Step2: Solve for side - length

Divide both sides of the equation $56 = 4s$ by 4.
$s=\frac{56}{4}=14$ cm

Step3: Recall area formula for square

The area $A$ of a square is $A=s^{2}$, where $s$ is the side - length. Given $A = 100$ m², we solve for $s$.
$100=s^{2}$

Step4: Solve for side - length

Take the square root of both sides. Since $s>0$ (side - length cannot be negative), $s=\sqrt{100}=10$ m

Answer:

a) 14 cm
b) 10 m