SOLUTION: A farmer has 70 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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Question 1126356: A farmer has 70 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).
A)Suppose the length of the garden is 20 meters (l=20).
i)What is the width of the garden?
ii)What is the area of the garden?
B)Write an expression in terms of l that represents the width of the garden (in meters)
c)Write an expression in terms of l that represents the area of the garden (in meters).
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let w be the width of the garden, then
:
2l +2w = 70
:
l +w = 35
:
A.i) 20 +w = 35
:
w = 15 meters
:
A.ii) Area = l * w = 20 * 15 = 300 square meters
:
B) w = 35 -l
:
C) Area = l * (35 -l) = 35l - l^2
: