SOLUTION: the sides of a rectangle are in the ratio 2:3 the are of the rectangle is 150 cm2 find the length of the sides of the rectangle

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Question 827274: the sides of a rectangle are in the ratio 2:3 the are of the rectangle is 150 cm2 find the length of the sides of the rectangle
Answer by LinnW(1048) About Me  (Show Source):
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Set L = the length of the longer side
2%2F3+=+W%2FL
do cross products
3W+=+2L
divide each side by 3
W+=+%282%2F3%29L
Since L * W = Area
L * W = 150
Substituting (2/3)L for W
%28+L%2A%282%2F3%29L+%29+=+150
multiply each side by 3/2
%28+L%2AL+%29+=+150%283%2F2%29
%28+L%5E2+%29+=+450%2F2
%28+L%5E2+%29+=+225
L+=+15
Since W+=+%282%2F3%29L , W = 10