Question

A sidewalk will be put in around the block. The sidewalk will cover an area of 67,500 square feet and the length will be three times the width. The area is represented by the equation: w(3w) = 67, 500. Solve for w.

Answer 1

Explanation

Given that the area of the side block is represented by

$w\mleft(3w\mright)=67,500$

The value of w can be found below;

$\begin{gathered} w(3w)=67,500 \\ 3w^2=67500 \\ \text{Divide both side by 3} \\ w^2=\frac{67500}{3} \\ w^2=22500 \\ w=\sqrt[]{22500} \\ w=150 \end{gathered}$

Answer: 150