Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - Area and Volume - Exercises - Page 976: 3

Answer

$A=30\text{ cm}^2$

Work Step by Step

To find the area of a trapezoid, we use the formula $A=0.5(b_1+b_2)h$, where $b_1$ and $b_2$ are the respective bases and $h$ is the height. We plug in the values, as shown in the diagram, to get: $$A=0.5(b_1+b_2)h \\A=0.5(9\text{ cm}+6\text{ cm})4\text{ cm} \\A=0.5(15\text{ cm})(4\text{ cm}) \\A=30\text{ cm}^2$$
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