An order was placed for a carpet whose length and width were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 2 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?	Choices
A) 7:5	B) 12:11	C) 17:15	D) 22:17	E) 27:25
Let the length and width of one carpet be 3x and 2x.   Let the length and width of the other carpet be 2y and y.   2(3x + 2x) = 2(2y + y)   5x = 3y   (5/3) * x = y   The ratio of the areas of the carpet in both cases:   = 3x * 2x : 2y * y   = 6x^2 : 2y^2   = 6x^2 : 2*(25/9) * x^2   = 54 : 50   = 27:25   The answer is 27:25.
<result>E</result>
An order was placed for a carpet whose length and width were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 2 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?