Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.1 - Radical Expressions and Graphs - 7.1 Exercises - Page 439: 10


D. 30

Work Step by Step

We are given that the length and width of a rectangle are $\sqrt 26$ and $\sqrt 98$. Since 26 is close to 25, we can use the fact that $\sqrt 25=5$ to approximate $\sqrt 26$ as 5. Since 98 is close to 100, we can use the fact that $\sqrt 100=10$ to approximate $\sqrt 98$ as 10. Furthermore, we know that the formula for the perimeter of a rectangle is $2l+2w$. Using our approximations, $2l+2w=2\times5+2\times10=10+20=30$.
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