SOLUTION: The length of a rectangle is 9 centimeters more than half the width. Find the length if they perimeter is 60 centimeters.

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Question 153557: The length of a rectangle is 9 centimeters more than half the width. Find the length if they perimeter is 60 centimeters.
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the width, then the length is x%2F2+%2B+9.
The perimeter = 2*width + 2*length
= 2x+%2B+2%28x%2F2%2B9%29
As the perimeter is 60, we have:
2x+%2B+2%28x%2F2%2B9%29=60
Solving for x, we have
2x+%2B+x+%2B+18+=+60
3x%2B18=60
3x=42
x=14
So
the width is 14 cm,
the length is x%2F2+%2B+9=14%2F2%2B9=7%2B9=16+cm.