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

Ex Input:
Problem: the ratio of radius of a circle and the side of a square is 2 : 3 . find the ratio of their areas : 
Options: a ) 2 : 1 , b ) 4 : 9 , c ) 8 : 77 , d ) 4 : 121 , e ) none

Ex Output:
b


Ex Input:
Problem: a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 223 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years . how many cauliflowers did she produce this year ? 
Options: ['a ) 12541', 'b ) 12542', 'c ) 12544', 'd ) 12545', 'e ) can not be determined']

Ex Output:
c


Ex Input:
Problem: the length and width of a rectangle are integer values . what is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer 
Options: ['a ) 12', 'b ) 45', 'c ) 36', 'd ) 48', 'e ) 60']

Ex Output:

b