Geometry: Common Core (15th Edition)

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

Chapter 7 - Similarity - 7-1 Ratios and Proportions - Practice and Problem-Solving Exercises - Page 437: 38


AB=36 cm; BC=18 cm; CD=9 cm; DE=9 cm

Work Step by Step

Set DE and CD equal to x. Therefore, BC=2x and AB=4x by the extended ratio. You are given AE=72 and can see from the diagram that AB+BC+CD+DE=AE. Substitute in from above. 4x+2x+x+x=72 8x=72 x=9 Look back at the first step, substituting 9 in for x to get your measurements. AB=4x=4(9)=36 BC=2x=2(9)=18 CD=x=9 DE=x=9
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