Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-8 Perimeter, Circumference, and Area - Practice and Problem-Solving Exercises - Page 66: 48


$4326\ m^2$

Work Step by Step

Working from the top down, the sketch can be divided into 6 rectangular sections. Find the area of each, and add them to find the total area. $A_1=bh=(14)(10)=140$ $A_2=bh=(25)(22)=550$ $A_3=bh=(46)(16)=736$ $A_4=bh=(25)(12)=300$ $A_5=bh=(65)(20)=1300$ $A_6=bh=(25)(52)=1300$ Area Addition Postulate $A=A_1+A_2+A_3+A_4+A_5+A_6=140+550+736+300+1300+1300=4326$
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