EBK FUNCTIONS AND CHANGE: A MODELING AP
6th Edition
ISBN: 8220103600101
Author: Crauder
Publisher: CENGAGE L
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Textbook Question
Chapter 2.6, Problem 9E
Forming a pen We want to form a rectangle pen of area 100 square feet. One side of the pen is to be formed by an existing buliding and the other three sides by a fence (see Figure 2.106). Let W be the length, in feet, of the sides of the rectangle perpendicular to the buliding, and let L be the length, in feet, of the other side.
Figure 2.106
a. Find a formula for the total amount of fence needed in terms of W and L
b. Express, as an equation involving W and L, the requirement that the area be 100 square feet.
c. Solve the equation you found in part b for L.
d. Use your answers to parts a and c to find a formula for F, the total amount, in feet, of fence needed, as a function of W alone.
e. Make a graph of F versus W.
f. Determine the dimension of the rectangle that requires a minimum amount of fence.
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Chapter 2 Solutions
EBK FUNCTIONS AND CHANGE: A MODELING AP
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Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Quadrilaterals: Missing Angles and Sides; Author: rhornfeck;https://www.youtube.com/watch?v=knVj1O0L2TM;License: Standard YouTube License, CC-BY
STD IX | State Board | Types of Quadrilateral; Author: Robomate;https://www.youtube.com/watch?v=wh0KQ4UB0EU;License: Standard YouTube License, CC-BY