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 1 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?  Select.
A) 4:5	B) 9:10	C) 14:15	D) 19:20	E) 24:25
Let the length and width of one carpet be 3x and 2x.   Let the length and width of the other carpet be y and y.   2(3x + 2x) = 2(y + y)   5x = 2y   (5/2) * x = y   The ratio of the areas of the carpet in both cases:   = 3x * 2x : y * y   = 6x^2 : y^2   = 6x^2 : (25/4) * x^2   = 24 : 25   The answer is 24:25.
<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 1 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?