SOLUTION: The perimeter of a rectangle is 32 cm. The base is 2 less than two times the height. What is the area?

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Question 255501: The perimeter of a rectangle is 32 cm. The base is 2 less than two times the height. What is the area?
Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Let the width of the rectangle be x.
Then its length = 2x-2
Then perimeter is 2(x+2x-2) = 32
(3x-2) = 32/2
3x = 16+2
3x = 18
x = 18/3
x = 6 cms
Therefore area of the rectangle= x(2x-2)
=2x^2-2x
= 2(6)^2-2*6
= 2*36-12
= 72-12
=60 sq.cms