SOLUTION: James wishes to enclose a rectangular dog kennel with 150 feet of fencing. He would like the kennel to be twice as long as it is wide. What must be the kennel's dimension?
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Question 437112: James wishes to enclose a rectangular dog kennel with 150 feet of fencing. He would like the kennel to be twice as long as it is wide. What must be the kennel's dimension? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! The fence will define the perimeter of the rectangle.
P = 2*width + 2*length
P = 150
We're told
l = 2w
150 = 2w + 2l
Substituting
150 = 2w + 2(2w)
150 = 2w + 4w
150 = 6w
6w = 150
w = 25
l = 2w
l = 50
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Always check your answer!
2(25) + 2(50) = 150??
50 + 100 = 150
Checks.
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Answer: The kennel's dimensions should be 50 feet long by 25 feet wide.
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Done.
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