SOLUTION: The Perimeter of a rectangle shaped lawn is 52 feet and the area is 144 square feet. What are the dimensions of the lawn?
isn’t it 12x12x12x12?
Thank you
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Question 41032: The Perimeter of a rectangle shaped lawn is 52 feet and the area is 144 square feet. What are the dimensions of the lawn?
isn’t it 12x12x12x12?
Thank you
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
Area: lw
lw = 144
l = 144/w
Perimeter: 2l + 2w
2l + 2w = 52
Combine:
2l + 2w = 52
2(144/w) + 2w = 52
288/w + 2w = 52
288 + 2w^2 = 52w
2w^2 - 52w + 288 = 0
w^2 - 26w + 144 = 0
(w - 18)(w - 8) = 0
or
Plug:
lw = 144
l18 = 144
l = 8
or Plug:
lw = 144
l8 = 144
l = 18
Since the length is longer, you would have: length = and width =
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