SOLUTION: The width of a rectangle is one half its length. The perimeter is 54 cm. What is the width and length of the rectangle.

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Question 228169: The width of a rectangle is one half its length. The perimeter is 54 cm. What is the width and length of the rectangle.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let W = the width and L = the length, then:
W+=+%281%2F2%29L or L+=+2W and...
2%28L%2BW%29+=+54cm. "The perimeter is 54cm." Substitute L+=+2W
2%28%282W%29%2BW%29+=+54 Divide both sides by 2 and simplify the left side.
3W+=+27 Divide both sides by 3.
highlight%28W+=+9%29 and...
L+=+2%2A9
highlight%28L+=+18%29
The length is 18cm. and the width is 9cm.