Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.1 - Numerical and Algebraic Expressions - Problem Set 1.1: 62

Answer

$A=126$

Work Step by Step

We start with the equation for the area of a trapezoid: $A=\frac{h(b_1+b_2)}{2}$ We plug in the values for the bases and the height: $A=\frac{9(12+16)}{2}$ To simplify, we follow the order of operations. First, we must simplify above the fraction bar. To do so, first we add inside the parentheses: $A=\frac{9(28)}{2}$ Then, we multiply above the fraction bar: $A=\frac{252}{2}$ Then, we divide: $A=126$
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