A backyard farmer wants to enclose a rectangular space for a new garden within her fenced backyard. 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. backyard garden 1. The area function for the area is A(L) = 2L? + 80L Determine the maximum area 2. For maximum area determine the measurement of the length of the garden 3. Solve the quadratic equation given in question 2 and Comment on the validity of the correct answer for the given scenario 4. Determine the lenght(s) in feet when the area of the garden is 45square feet. Comment on the accuracy of the answer

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 287E: In the following exercises, solve. Round answers to the nearest tenth. 287. A land owner is planning...
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A backyard farmer wants to enclose a rectangular space for a new garden within her fenced
backyard. 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.
backyard
garden
1. The area function for the area is A(L) = 2L? + 80L
Determine the maximum area
2.
For maximum area determine the measurement of the length of the garden
3. Solve the quadratic equation given in question 2 and Comment on the validity of the correct
answer for the given scenario
4. Determine the lenght(s) in feet when the area of the garden is 45square feet. Comment on
the accuracy of the answer
Transcribed Image Text:A backyard farmer wants to enclose a rectangular space for a new garden within her fenced backyard. 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. backyard garden 1. The area function for the area is A(L) = 2L? + 80L Determine the maximum area 2. For maximum area determine the measurement of the length of the garden 3. Solve the quadratic equation given in question 2 and Comment on the validity of the correct answer for the given scenario 4. Determine the lenght(s) in feet when the area of the garden is 45square feet. Comment on the accuracy of the answer
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