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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.

A sidewalk will be put in around the block. The sidewalk will cover an area of 67,500 square-example-1
User Sebastian Dwornik
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2 Answers

6 votes
6 votes

Answer:

Explanation:

This question is part of a quiz for a cyber school in Pennsylvania. Please remove the question and its solution. Signed, the teacher

User Sjoerd Pottuit
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2.8k points
7 votes
7 votes

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=(67500)/(3) \\ w^2=22500 \\ w=\sqrt[]{22500} \\ w=150 \end{gathered}

Answer: 150

User PrimosK
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3.6k points