In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Example Input: Problem: if the area of a square with sides of length 12 centimeters is equal to the area of a rectangle with a width of 6 centimeters , what is the length of the rectangle , in centimeters ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 24 , e ) 18
Example Output: d

Example Input: Problem: 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 : 3 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? 
Options: a ) 9 : 10 , b ) 19 : 20 , c ) 29 : 30 , d ) 39 : 40 , e ) 49 : 50
Example Output: e

Example Input: Problem: the area of a rectangular plot is 460 square metres . if the length is 15 % more than the breadth , what is the breadth of the plot ? 
Options: a ) 14 m , b ) 20 m , c ) 18 m , d ) 12 m , e ) 15 m
Example Output:
b