Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - Concept Byte - Finding Perimeter, Area, and Volume - Page 116: 2


$P=11m$ $A=7.5m^2$

Work Step by Step

Perimeter: sum of exterior side lengths There are 6 exterior side lengths to this figure: $P=2.5+0.5+2.5+2.5+0.5+2.5+2.5=11$ Area: the total area $A$ is the sum of the area $A_{t_1}$ of the first triangle, the area $A_{t_2}$ of the second triangle, and area $A_{r}$ of the rectangle. $A_{t_1}$=$\frac{1}{2}$$bh$ $A_{t_1}$=$\frac{1}{2}$$(3)(2)$ $A_{t_1}$=$3$ $A_{t_2}$=$\frac{1}{2}$$bh$ $A_{t_2}$=$\frac{1}{2}$$(3)(2)$ $A_{t_2}$=$3$ $A_{r}$=$lw$ $A_{r}$=$.5(3)$ $A_{r}$=$1.5$ Add up the three areas: $A=3+3+1.5=7.5$
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