## Elementary Geometry for College Students (7th Edition)

Published by Cengage

# Chapter 8 - Section 8.1 - Area and Initial Postulates - Exercises - Page 359: 24

#### Answer

29 $yd^{2}$

#### Work Step by Step

Carpeting is to be purchased for the family room and hallway shown We need to find the area to be covered By looking at the area we can divide the area into two rectangles I and II area of the required one = area of rectangle I + area of rectangle II Area of rectangle whose base has length b and height has length h is given by A =bh Area of rectangle I = 5 * 5 = 25 $yd^{2}$ Area of rectangle II = 1 * 4 = 4 $yd^{2}$ Total area of the covered region = 25 $yd^{2}$ + 4 $yd^{2}$ = 29 $yd^{2} Total area sheet to be purchased = 29$yd^{2}\$

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