Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.5 Triangles - 8.5 Exercises: 12

Answer

The total are = 650 m$^{2}$

Work Step by Step

To find the area of the entire object we simply break the object into 2 pieces: a triangle on the left and a parallelogram on the right. Area of a Triangle: $A$$_{tri}$ = $\frac{1}{2}$$b$$h$ Therefore: $A$$_{tri}$ = $\frac{1}{2}$(27 m)(20 m) $A$$_{tri}$ = 270 m$^{2}$ Area of a Parallelogram: $A$$_{parallel}$ = $b$$h$ $A$$_{parallel}$ = (20 m)(19 m) $A$$_{parallel}$ = 380 m$^{2}$ $A$$_{total}$ = $A$$_{tri}$ + $A$$_{parallel}$ $A$$_{total}$ = 270 m$^{2}$ + 380 m$^{2}$ $A$$_{total}$ = 650 m$^{2}$
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