SOLUTION: The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.

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Question 124935: The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.
Answer by iluvbuilding429(41)   (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.


You already know that L=2w+2. So, put this into the formula for perimeter:



Multiply:



Add:



Subtract 4 from both sides:



Divide both sides by 6:

Now you know the width. To find the length, use L=2w+2.



Multiply:



Add:



So, the length is 18, and the width is 8.

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