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) (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