SOLUTION: the area of a rectangle is 144 square meters. the length of the rectangle is three times it's width. find the length and width of the rectangle.

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Question 496596: the area of a rectangle is 144 square meters. the length of the rectangle is three times it's width. find the length and width of the rectangle.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is given by:
A+=+L%2AW Substitute A+=+144%7D%7D%2C+%7B%7B%7BL+=+3W
144+=+%283W%29%28W%29
3W%5E2+=+144 Divide by 3.
W%5E2+=48 Take the square root of both sides.
W+=+4sqrt%283%29meters.
L+=+3W
L+=+3%284sqrt%283%29%29
L+=+12sqrt%283%29meters.