College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.1 - The Coordinate Plane - 1.1 Exercises - Page 92: 32

Answer

Area $=16$

Work Step by Step

Area = (base)$\times$(height) With $\overline{AB}_{ }^{ }$ as base, parallel to the x-axis, $d(A, B)=\sqrt{(1-5)^{2}+(2-2)^{2}}=\sqrt{(-4)^{2}}=4$. We count the change in y coordinates as the height. height= $6-2=4$. Area $=4\cdot 4=16$
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