Basic College Mathematics (9th Edition)

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

Chapter 8 - Geometry - Review Exercises - Page 616: 39



Work Step by Step

We can split up the figure into three parts: - The left side rectangle (12 km x 24 km) - The middle parallelogram (24 km x 11 km) - The right side square (11 km x 11 km) We find the area of each part. Left Rectangle: We know that the area of a rectangle is given by: $Area=length*width$ $A=lw$ So we have: $A=24*12=288~km^2$ Middle Parallelogram: We know that the area of a parallelogram is given by: $Area=base*height$ $A=bh$ So we have: $A=24*11$ $A=264~km^2$ Right square: $Area=11*11=121~km^2$ We add up the three areas: $288+264+121=673~km^2$
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