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: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 294 sq . cm , what is the length of the rectangle ? 
Options: a ) 15 cm , b ) 18 cm , c ) 21 cm , d ) 24 cm , e ) 27 cm
Example Output: c

Example Input: Problem: a wooden cube whose edge length is 8 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? 
Options: a ) 46.3 % , b ) 50.4 % , c ) 54.2 % , d ) 57.8 % , e ) 61.3 %
Example Output: d

Example Input: Problem: the length of a rectangle is doubled while its width is tripled . what is the % change in area ? 
Options: ['a ) 250 %', 'b ) 300 %', 'c ) 500 %', 'd ) 650 %', 'e ) 700 %']
Example Output:
c