SOLUTION: the perimeter of a rectangle is 1100 feet. find the dimension so that the enclosed area will be 60,000 square feet.

Question 32242: the perimeter of a rectangle is 1100 feet. find the dimension so that the enclosed area will be 60,000 square feet.
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
THe formula for the perimeter is:
2(l+w)=P
In this case P = 1100 and length and width are unknown.
2l+2w=1100
Solve for length:
l=550-w (subsitution)
The Area in this case is A=60000
lw=60000
Subsitute for l
(550-w)(w)=60000

Factor: (w-150) or (w-400)
Remvoe the 150 x=400
l=550-400
l=150
Hence, the width is 150ft and the length is 400ft.
Paul.
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