Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.3 - Systems of Linear Equations and Problem Solving - Exercise Set - Page 232: 39

Answer

10 inches 7 inches 7 inches 5 inches

Work Step by Step

Let the sides of the quadrilateral are $x,y,z$ and $w$. Given, longest side $x $ is twice the shortest side $w$ $x= 2w$ Other two sides are equal. $y=z$ $y $ is $2$ inches longer than the shortest side $w$ $y=2+w$ Perimeter of the quadrilateral is $29$ inches. $x+y+z+w=29$ $2w+2+w+2+w+w=29$ $5w+4=29$ $5w=25$ $w=5$ Lengths of all four sides $x=2 \times 5 =10$ inches $y= 2 + 5 = 7$ inches $z=7 $ inches $w= 5$ inches
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