Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - 2-1 Patterns and Inductive Reasoning - Practice and Problem-Solving Exercises - Page 87: 49

Answer

102 cm

Work Step by Step

The height of the figure is 1 cm, no matter how many triangles are added. Each triangle adds 1 cm to either the top or the bottom of the figure, so 100 triangles add 100 cm to the perimeter. The area is the sum of the lengths of each side, the top, and the bottom. $100+1+1=102\ cm$
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