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: how many diagonals does a polygon with 19 sides have , if one of its vertices does not connect to any diagonal ? 
Options: a ) 135 , b ) 125 , c ) 120 , d ) 110 , e ) 140
Example Output: a

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: if the sides of a square are doubled in length , the area of the original square is now how many times as large as the area of the resultant square ? 
Options: a ) 25 % , b ) 50 % , c ) 100 % , d ) 200 % , e ) 400 %
Example Output:
a