Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 2 - Multiplying and Dividing Fractions - 2.5 Multiplying Fractions - 2.5 Exercises - Page 149: 41

Answer

$\frac{1}{4} \ \text{mi} ^2$.

Work Step by Step

The area is computed by $A = a \cdot b$. Here, we substitute $a = \frac{3}{10}$ and $b=\frac{5}{6} $. From this it follows that the area $A$ is computed by: $A = a \cdot b = \frac{3}{10} \cdot \frac{5}{6} = \frac{1}{10} \cdot \frac{5}{2} = \frac{1}{2} \cdot \frac{1}{2} = \frac{1}{2 \cdot 2} = \frac{1}{4}$. With considering the unit, the answer is $\frac{1}{4} \ \text{mi} ^2$.
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