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 a number is subtracted from its square we get 272 . find the number ? 
Options: ['a ) 7', 'b ) 21', 'c ) 19', 'd ) 15', 'e ) 17']
Example Output: e

Example Input: Problem: the area of a parallelogram is 162 sq m and its altitude is twice the corresponding base . then the length of the base is ? 
Options: a ) 8 , b ) 9 , c ) 7 , d ) 62 , e ) 2
Example Output: b

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 1 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? 
Options: a ) 4 : 5 , b ) 9 : 10 , c ) 14 : 15 , d ) 19 : 20 , e ) 24 : 25
Example Output:
e