A goat farmer is building a pen using a total of 300ft. of fencing. If the pen is to be three times as long as double its width, a. Draw a diagram of the pen, using x for its width and y for its length. b. Write a quadratic equation for the area of the pen in terms of x. c. Find the dimensions of the pen that maximize its area.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
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A goat farmer is building a pen using a total of 300ft. of fencing. If the pen
is to be three times as long as double its width,
a. Draw a diagram of the pen, using x for its width and y for its length.
b. Write a quadratic equation for the area of the pen in terms of x.
c. Find the dimensions of the pen that maximize its area.
Transcribed Image Text:A goat farmer is building a pen using a total of 300ft. of fencing. If the pen is to be three times as long as double its width, a. Draw a diagram of the pen, using x for its width and y for its length. b. Write a quadratic equation for the area of the pen in terms of x. c. Find the dimensions of the pen that maximize its area.
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