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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

Step-1 – Given

Given two sides of the square are 9x and 5x+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, 9x=5x+32

Then we solve the equation:

9x=5x+32 write the equation9x5x=32+5x5x subtract 5x from both sides4x=32 simplify4x4=324 divide each side by 4x=8 simplify

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

9x=9×8 Substitute the value of x =72 Multiply

So the length of each side = 72


PerimeterP=4×each side of the sqaurePerimeterP=4×72 Substitute the value in the formulaPerimeterP=288 units Multiply

Therefore, PerimeterP=288

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