SOLUTION: The length of a rectangle is 3 inches less than twice the width. The perimeter of the rectangle is 90 inches. Find the dimensions of the rectangle.

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Question 711201: The length of a rectangle is 3 inches less than twice the width. The perimeter of the
rectangle is 90 inches. Find the dimensions of the rectangle.
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
You can write 2 equations from the given information.
Define the following variables:
L=length
W=width
P=perimeter
L=2W-3
P=2L%2B2W=90
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Solve 2nd Equation for L in terms of W:
2L%2B2W=90
2L=90-2W
L=%2890-2W%29%2F2
L=45-W
Substitute this expression for L into the first equation, and solve for W:
45-W=2W-3
2W%2BW=45%2B3
3W=48
highlight%28W=16%29
----------------
Substitute this value for W into the second equation and solve for L:
2L%2B2%2816%29=90
2L%2B32=90
2L=58
highlight%28L=29%29
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Good Luck,
tutor_paul@yahoo.com