Question

Twice the area of a square is 72 mi.² what is the length of each side of the square

Answer 1

Given the question, the following are the solution steps to answer the question.

STEP 1: Find the area of the square

`\begin{gathered} 2*\text{ Area of the square}=72mi^2 \\ Divide\text{ both sides by 2} \\ \frac{2* Area\text{ of the square}}{2}=(72)/(2) \\ Area\text{ of the square}=36mi^2 \end{gathered}`

STEP 2: Find the length of each side of the square

`\begin{gathered} Area=length^2=36mi^2 \\ Find\text{ the square root of both sides} \\ √(length^2)=√(36mi^2) \\ length=6mi \end{gathered}`

Hence, the length of each side of the square is 6mi