SOLUTION: A farmer has 90 meters of fencing and would like to use the fencing to create a rectangular garden in the middle of an open field.
Let l represent the varying length of the recta
Algebra.Com
Question 1126375: A farmer has 90 meters of fencing and would like to use the fencing to create a rectangular garden in the middle of an open field.
Let l represent the varying length of the rectangular garden (in meters) and let A
represent the area of the garden (in square meters).
A)Write a formula that expresses A in terms of l.
B)What is the maximum area of the garden?
C)What is the length and width of the garden configuration that produces the maximum area?
D)What if the farmer instead had 250 meters of fencing to create the garden. What is the length and width of the garden configuration that produces the maximum area?
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
---------------------------------------------
A farmer has 90 meters of fencing and would like to use the fencing to create a rectangular garden in the middle of an open field.
Let l represent the varying length of the rectangular garden (in meters) and let A
represent the area of the garden (in square meters).
A)Write a formula that expresses A in terms of l.
B)What is the maximum area of the garden?
-----------------------------------------
Use "L" for "length", not "l".
You can choose w for width.
90 meters of fence material.
If all 90 meters will be used, then .
If A is variable for area, then .
Substitute for w.
OR
Maximum area will be for a square shape. Each dimension of the rectangular (SQUARE) garden is 22.5 meters.
RELATED QUESTIONS
A farmer has 90 meters of fencing and would like to use the fencing to create a... (answered by josgarithmetic)
A farmer has 70 meters of fencing and would like to use the fencing to create a... (answered by rothauserc)
A farmer has 70 meters of fencing and would like to use the fencing to create a... (answered by ankor@dixie-net.com)
A farmer has 70 meters of fencing and would like to use the fencing to create a... (answered by Alan3354)
A farmer has 26 meters of fencing available to enclose a rectangular region. he wants the (answered by checkley71)
A farmer wants to make a vegetable garden such that length is 3 meters longer than the... (answered by Theo)
Horatio, a local farmer and part time magician, wants to create a rectangular compound... (answered by ankor@dixie-net.com)
A farmer has 500 feet of fencing to use to make a rectangular garden. One side of the... (answered by ankor@dixie-net.com)
Monique decided to create a rectangular herb garden in her backyard. The length of the... (answered by Leaf W.)