Question

The area of a square painting is 81 cm 2. What is the length of one side?

Answer 1

9 cm

Explanation:

area of a square formula: A = s^2

81 = s^2

sqrt(81)=s

s=9

Answer 2

9 cm

Explanation:

A square is a 4-sided shape with side lengths of equal measure.

The area of a square can be calculated by squaring the measure of the side length.

`\boxed{\begin{minipage}{4 cm}\underline{Area of a square}\\\\$A=s^2$\\\\where:\\ \phantom{ww}$\bullet$ $A$ is the area. \\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}`

Given the area of the square painting it 81 cm², to find the length of one side, substitute the area into the formula and solve for s:

`\begin{aligned}A&=s^2\\\implies 81&=s^2\\√(81)&=√(s^2)\\9&=s\end{aligned}`

Therefore, the length of one side is 9 cm.