Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 6 - Polygons and Quadrilaterals - 6-8 Applying Coordinate Geometry - Practice and Problem-Solving Exercises - Page 412: 40

Answer

$P = 94$ cm

Work Step by Step

In a parallelogram, opposite sides are congruent. If $PQ = 35$ cm, then its opposite side is also $35$ cm; also, if $QR = 12$ cm, then its opposite side is also $12$ cm. We can set up the equation to find the perimeter: $P = 2l + 2w$ Let's plug in what is known: $P = 2(35) + 2(12)$ Multiply first, according to order of operations: $P = 70 + 24$ Add to solve: $P = 94$ cm This corresponds to option $C$.
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