Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-10 Change Expressed as a Percent - Practice and Problem-Solving Exercises: 24

Answer

4.73%

Work Step by Step

The greatest possible percent error is determined by dividing the greater difference in area by the measured area. The greatest possible area is found with the maximum values of the sides given, and the smallest possible area is found with the minimum values of the sides given. Maximum value for sides: $18.5+.25 = 18.75$ and $7.5+.25=7.75$ Minimum value for sides: $18.5 - .25 = 18.25$ and $7.5-.25 = 7.25$ Maximum area: $18.75 * 7.75 = 145.3125$ meters squared Minimum area: $18.25 * 7.25 = 132.3125$ meters squared Measured area: $18.5 * 7.5 = 138.75$ meters squared absolute value of (minimum area - measured area) = $abs(132.3125-138.75)$ $abs(132.3125-138.75) = abs(-6.4375) = 6.4375$ absolute value of (maximum area - measured area) = $abs(145.3125-138.75) = abs(6.5625) = 6.5625$ Error percentage: $6.5625/138.75 = .04729 = 4.73$ percent
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