SOLUTION: The area of a rectangular lawn is 208 square meters. The perimeter is 68 meters. What are the dimensions of the lawn?

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Question 1010596: The area of a rectangular lawn is 208 square meters. The perimeter is 68 meters. What are the dimensions of the lawn?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
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The area of a rectangular lawn is 208 square meters. The perimeter is 68 meters. What are the dimensions of the lawn?
Let the dimensions be L and W, respectively

2L + 2W = 68_______2(L + W) = 2(34)______L + W = 34______L = 34 - W ----- eq (i)

Area: LW, so:

W(34- W) = 208

34W+-+W%5E2+=+208

0+=+W%5E2+-+34W+%2B+208

Solve this for W: one of the dimensions, by factoring, and use this value to find L: the other dimension