Find the dimensions of a rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area given 100 feet of fencing. Width = help (numbers) Length = help (numbers) %3D J A backyard farmer wants to enclose a rectangular space for a new garden within her fenced backyard. Sihe has purchased 80 feet of wire fencing to enclose three sides, and she will use a section of the backyard fence as the fourth side. a. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length L. b. What dimensions should she make her garden to maximize the enclosed area? Maximum areadmum Value of a Quadratic Function Solution Let's use a diagram such as Figure 10 to record the given information. It is also helpful to introduce a temporary variable, W, to represent the width of the garden and the length of the fence section parallel to the backyard fence. Garden 224W=80 w> 80-2L Figure 10 A= L.W AaL (80-24) A= 8OL-2L A=-2ピ+ Created with Doceri

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find the dimensions of a rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area given 100 feet of fencing.
Width =
help (numbers)
Length =
help (numbers)
cd deelean.com
JMaximum areadimum Value of a Quadratic Function
A backyard farmer wants to enclose a rectangular space for a new garden within her fenced bdckyard. She has purchased
80 feet of wire fencing to enclose three sides, and she will use a section of the backyard fence as the fourth side.
a. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have
length L.
b. What dimensions should she make her garden to maximize the enclosed area?
Solution Let's use a diagram such as Figure 10 to record the given information. It is also helpful to introduce a temporary
variable, W, to represent the width of the garden and the length of the fence section parallel to the backyard fence.
Garden
224W=80
w> 80-2L
Figure 10
A=-22+
A= L.W
A=h(80-24)
A= 80L-2L"
Created with Doceri
Transcribed Image Text:Find the dimensions of a rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area given 100 feet of fencing. Width = help (numbers) Length = help (numbers) cd deelean.com JMaximum areadimum Value of a Quadratic Function A backyard farmer wants to enclose a rectangular space for a new garden within her fenced bdckyard. She has purchased 80 feet of wire fencing to enclose three sides, and she will use a section of the backyard fence as the fourth side. a. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length L. b. What dimensions should she make her garden to maximize the enclosed area? Solution Let's use a diagram such as Figure 10 to record the given information. It is also helpful to introduce a temporary variable, W, to represent the width of the garden and the length of the fence section parallel to the backyard fence. Garden 224W=80 w> 80-2L Figure 10 A=-22+ A= L.W A=h(80-24) A= 80L-2L" Created with Doceri
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