SOLUTION: The perimeter of a rectangle is 42. The length is 3 less than 5 times the width. What are the dimensions of the rectangle? I need help with this question.

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Question 1126590: The perimeter of a rectangle is 42. The length is 3 less than 5 times the width. What are the dimensions of the rectangle? I need help with this question.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The perimeter of a rectangle is 42.
P=2%28L%2BW%29
2%28L%2BW%29=42
L%2BW=42%2F2

L%2BW=21......eq.1

if the length is 3 less than 5 times the width, we have
L=5W-3....eq.2...substitute in eq.1
5W-3%2BW=21......eq.1
6W=21%2B3
6W=24
W=24%2F6
W=4
go to L=5W-3....eq.2 substitute W=4
L=5%2A4-3
L=20-3
L=17

so, the dimensions of the rectangle are:L=17 and W=4