Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.6 Mathematical Models: Building Functions - 1.6 Assess Your Understanding - Page 104: 15

Answer

$a) ~2r^2 \\ b) ~6r$

Work Step by Step

(a) The length of the rectangle is $l=r$ and the width of the rectangle is $2r$. So, the area of the rectangle is: $A(r)=length \times width =r\cdot2r=2r^2$ b) The length of the rectangle is $l=r$ and the width of the rectangle is $2r$. The perimeter will be the length of the wire: $P(r)=2*(length+width)=2(r+2r)=(2)(3r)=6r$
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