1) Cindy has 185 feet of fencing to build a rectangular dog run. She plans to build it against an existing wall. This means that she will use the 185 feet of fencing to build only 3 sides, because the fourth side of the dog run will be a wall that already exists. a) Find the dimensions of the dog run that will maximize the floor area of the dog run. The shortest side is called the "width" and the longest side is called the "length". Type the exact answers as decimals. The desired width is The desired length is feet. The maximum floor area is feet. b) Find the maximum area of the dog run. Type the exact answer as a decimal. square feet.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) Cindy has 185 feet of fencing to build a rectangular dog run. She plans to build it against an existing wall.
This means that she will use the 185 feet of fencing to build only 3 sides, because the fourth side of the dog
run will be a wall that already exists.
a) Find the dimensions of the dog run that will maximize the floor area of the dog run. The shortest side is
called the "width" and the longest side is called the "length". Type the exact answers as decimals.
The desired width is
The desired length is
feet.
The maximum floor area is
feet.
b) Find the maximum area of the dog run. Type the exact answer as a decimal.
square feet.
Transcribed Image Text:1) Cindy has 185 feet of fencing to build a rectangular dog run. She plans to build it against an existing wall. This means that she will use the 185 feet of fencing to build only 3 sides, because the fourth side of the dog run will be a wall that already exists. a) Find the dimensions of the dog run that will maximize the floor area of the dog run. The shortest side is called the "width" and the longest side is called the "length". Type the exact answers as decimals. The desired width is The desired length is feet. The maximum floor area is feet. b) Find the maximum area of the dog run. Type the exact answer as a decimal. square feet.
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