Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - Common Core Cumulative Standards Review - Selected Response: 19

Answer

$30\ units^2$

Work Step by Step

Since we are told the figure is a rectangle, it is only necessary to find the length of two sides. We can see that two points have the same x-coordinate and different y-coordinates, while the other two points have the same y-coordinate and different x-coordinates. Find the length of a vertical segment using the Ruler Postulate and y-coordinates. $d=|5-(-1)|=|6|=6$ Find the length of a horizontal segment using the Ruler Postulate and x-coordinates. $d=|-2-3|=|-5|=5$ The rectangle has a height of 6 units and a base of 5 units. Use the formula for the area of a rectangle. $A=bh=5(6)=30$
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