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Q30.

Expert-verified

Pre-algebra

Found in: Page 133

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find the perimeter of the square.

The required perimeter of the square is 288

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1 – Given

Given two sides of the square are $9 x$ and $5 x + 32$ .

Step-2 – To determine

We have to find the perimeter of the square.

Step-3 – Calculation

We know that each sides of a square are equal.

So, $9 x = 5 x + 32$

Then we solve the equation:

\begin{array}{l} 9 x = 5 x + 32 write the equation \\ 9 x - 5 x = 32 + 5 x - 5 x subtract 5x from both sides \\ 4 x = 32 simplify \\ \frac{4 x}{4} = \frac{32}{4} divide each side by 4 \\ x = 8 simplify \end{array}

Substituting the value of x in the expression of a side = $9 x$ we get:

$\begin{array}{l} 9 x \\ = 9 \times 8 Substitute the value of x \\ =72 Multiply \end{array}$

So the length of each side = 72

Hence,

$\begin{array}{l} Perimeter (P) = 4 \times each side of the sqaure \\ Perimeter (P) = 4 \times 72 Substitute the value in the formula \\ Perimeter (P) = 288 units Multiply \end{array}$

Therefore, $Perimeter (P) = 288$

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