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
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Let l represent the varying length of the recta
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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?
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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?
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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.
(