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 4 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?
Pick:
A) 5:8  B) 3:2  C) 6:1  D) 8:7  E) 5:6
Let the length and width of one carpet be 3x and 2x.   Let the length and width of the other carpet be 4y and y.   2(3x + 2x) = 2(4y + y)   5x = 5y   x = y   The ratio of the areas of the carpet in both cases:   = 3x * 2x : 4y * y   = 6x^2 : 4y^2   = 6x^2 : 4x^2   = 6 : 4   = 3 : 2   The answer is 3:2.
<result>B</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 4 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?