SOLUTION: The perimeter of a rectangle is 212 centimeters. The length is 8 centimeters less than three times the width. Let L represent the length of the rectangle and let w represent the wi

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Question 225329: The perimeter of a rectangle is 212 centimeters. The length is 8 centimeters less than three times the width. Let L represent the length of the rectangle and let w represent the width of the rectangle.
2w+21=212

Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
So the equation for perimeter is:
2w%2B21=212
But, we need to get the relation between length and width from the information given:
l=3w-8
Plug the back into our perimeter equation:
2w%2B2%283w-8%29=212
Distribute the 2:
2w%2B6w-16=212
Combine like terms:
8w-16=212
Add 16 to both sides:
8w=228
Divide both sides by 8:
w=28.5+cm
Plug this back into our relation:
l=3%2A28.5-8
l=77.5
So, l=77.5 and w=28.5