Geometry: Common Core (15th Edition)

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

Chapter 10 - Area - 10-4 Perimeters and Areas of Similar Figures - Practice and Problem-Solving Exercises: 17

Answer

$384

Work Step by Step

You are given the ratio of dimensions 4:3 Flooring is sold by the square foot, which is an area. Therefore, you must find the ratio of the areas. The ratio of the areas is the square of the ratio of the side lengths. $\frac{4^{2}}{3^{2}}$=$\frac{16}{9}$ Set up a proportion for the cost of the flooring based on the proportion of areas. $\frac{16}{9}$=$\frac{C}{$216}$ Cross multiply $9C=16(216)\\ 9C=3456$ Divide both sides by 9. C=$384
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