Question

problem 4

1. a. a square has a side length of 7 cm. what is its area?

b. a square has an area of 81 cm². what is its side length?

Explanation:

Step1: Recall area formula for square

The area formula of a square is $A = s^2$, where $A$ is the area and $s$ is the side - length.

Step2: Solve for part a

Given $s = 7$ cm, substitute into the formula $A=s^2$. So $A=(7\text{ cm})^2=49\text{ cm}^2$.

Step3: Solve for part b

Given $A = 81\text{ cm}^2$, from $A = s^2$, we get $s=\sqrt{A}$. Then $s=\sqrt{81\text{ cm}^2}=9\text{ cm}$.

Answer:

a. $49\text{ cm}^2$
b. $9\text{ cm}$