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

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) (Show Source): You can put this solution on YOUR website!
So the equation for perimeter is:

But, we need to get the relation between length and width from the information given:

Plug the back into our perimeter equation:

Distribute the 2:

Combine like terms:

Add 16 to both sides:

Divide both sides by 8:

Plug this back into our relation:

So, l=77.5 and w=28.5
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