Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 9 - Measurement - 9.2 Measuring Area and Volume - Exercise Set 9.2: 66

Answer

The best estimate is b. $900~m^2$

Work Step by Step

If the parcel of land had a width of 30 cm and length of 30 cm, the area would be $900~cm^2$. Since this area would be too small to build a house, answer a. $900~cm^2$ is unreasonably small. If the parcel of land had a width of 30 m and length of 30 m, the area would be $900~m^2$. A house that is built on a parcel of land that measures 30 meters by 30 meters seems reasonable in a metropolitan area, so answer b. $900~m^2$ seems like a good estimate. If the parcel of land had a width of 30 hm and length of 30 hm, the area would be $900~ha$. Since these dimensions would be enough to create a very large city park (Central Park in New York City is 341 hectares), this parcel of land would be too large for just one house in a metropolitan area. Therefore, answer c. $900~ha$ is unreasonably large. The best estimate is b. $900~m^2$
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