SOLUTION: A rectangle has a perimeter of 46 cm. Its length is 2 cm more than twice its width. Find the dimensions of the rectangle.

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Question 176771: A rectangle has a perimeter of 46 cm. Its length is 2 cm more than twice its width. Find the dimensions of the rectangle.
Answer by EMStelley(208) About Me  (Show Source):
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Let's call the width of the rectangle w. Then if the length is 2 cm more than twice the width, the length can be represented by 2w+2. Remembering that perimeter is 2L+2W, we have that
46 = 2(2w+2) + 2w
46 = 4w + 4 + 2w
46 = 6w + 4
42 = 6w
7 = w
So the width of the rectangle is 7 cm, and since the length is 2w+2, we have that the length is 2(7)+2 = 16 cm.