Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 8 - Geometry - 8.6 Circles - 8.6 Exercises - Page 576: 33

Answer

The cost of sod is around $325.83 dollars.

Work Step by Step

1. Find the area of the semi circle and multiply it by 2 Let $S =$ area of the semi circle $S = \frac{1}{2}\pi r^{2}$ $S = \frac{1}{2} (3.14) (8^{2})$ $S = \frac{1}{2} (200.96)$ $S = 100.48$ sq ft There are 2 semi circles are on opposite ends and therefore this area must be multiplied by 2. $(S \times 2) = (100.48 \times 2) = 200.96$ sq ft 2. Find the area of the rectangle Let $R =$ area of the rectangle $R = base \times height$ $R = 29 \times 16$ $R = 464$ sq ft 3. Add up the area of the semi circles and the area of the rectangle Let $T = $ total area of the playing field $T = 464 + 200.96$ $ T = 664.96$ 4. Find the cost of sod Let $P =$ the cost of sod $P = 664.96 \times 0.49$ $P = 325.8304$ dollars $P = 325.83$ dollars
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.