Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.3 Solve Linear Equations - 1.3 Exercises - Skill Practice - Page 22: 52


x=4; length of 14-2x=6; length of 2x+1=9; length of 3x-1=11

Work Step by Step

To find the perimeter, we need to add all the sides together. P=all sides added together The side lengths are 14-2x, 2x+1, and 3x-1, and the perimeter equals 26. Input them into the function: 26=14-2x+2x+1+3x-1 Simplify: 26=3x+14 One thing that is asked in this problem is to find the value of x. To do this, we need to isolate the variable. 26-14=3x+14-14 12=3x 4=x The next thing that is asked in this problem is to find the length of each side. To do this, we input x into each side's length: 14-2x 14-2(4) 14-8 6 2x+1 2(4)+1 8+1 9 3x-1 3(4)-1 12-1 11
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