Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.3 Polygons, Perimeter, and Tessellations - Exercise Set 10.3 - Page 638: 49

Answer

The number of plants needed to be placed outside the bed is\[48\].

Work Step by Step

The number of plants needed to place outside the bed will be determined by finding the perimeter of the square field in the feet. Then, convert the perimeter from feet to inches and divide the perimeter by the space of 8 inches. Computation of perimeter (P) of the square field can be done by using the formula mentioned below: \[P=4\times \text{side}\]. Length, l is 8 feet. Compute the perimeter as shown below: \[\begin{align} & P=4\times \text{side} \\ & =4\times 8\text{ ft} \\ & =32\text{ ft} \end{align}\] 1 foot is equivalent to 12 inches.So, it is required to convert the value of perimeter in feet to inches using the unit fraction. \[\frac{12\text{ inches}}{1\text{ ft}}\] Convert feet into inches as follows: \[\begin{align} & 32\text{ ft}=\frac{32ft}{1}\times \frac{12\text{ inches}}{1ft} \\ & =384\text{ inches} \end{align}\] For the computation of a number of plants, divide the perimeter \[384\text{ inches}\] by the space 8 inches. \[\begin{align} & \text{Number of plants}=\frac{384}{8} \\ & =48 \end{align}\]
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.