Basic College Mathematics (10th Edition)

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

Chapter 8 - Geometry - 8.6 Circles - 8.6 Exercises - Page 576: 38

Answer

$$A = 7587\ ft^2$$

Work Step by Step

We first find the area of the rectangle: $$ A = bl \\ A= (60\ ft)(45\ ft + 45\ ft + 30 \ ft + 30 \ ft) \\ A = (60\ ft)(150 \ ft ) \\ A = 9000 \ ft^2$$ The area of the semi circle is: $$ A= \frac{1}{2} \pi (30\ ft)^2 \\ A = 1413\ ft^2 $$ Now, we subtract off the area of the semi-circle since it is not included in the second level. Doing this, we find: $$ A = 9000 \ ft^2 - 1413\ ft^2 \\ A = 7587\ ft^2$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.