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: find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm ?
Options: a ) 189 cm 2 , b ) 150 cm 2 , c ) 240 cm 2 , d ) 177 cm 2 , e ) 187 cm 2
Example Output: c

Example Input: Problem: the diagonals of a rhombus are 10 cm and 15 cm . find its area ?
Options: a ) 75 , b ) 129 , c ) 150 , d ) 123 , e ) 117
Example Output: a

Example Input: Problem: d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 25 : 144 and bc = 13 cm , then find the length of de .
Options: a ) 12 , b ) 5 , c ) 14 , d ) 11 , e ) 15
Example Output:
b