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

Q: Problem: if the sum of a number and its square is 72 , what is the number ? 
Options: a ) 15 , b ) 26 , c ) 8 , d ) 91 , e ) none of these

A: c
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Q: Problem: the side of a rhombus is 24 m and length of one of its diagonals is 18 m . the area of the rhombus is ? 
Options: a ) 410.47 , b ) 403.47 , c ) 420.47 , d ) 400.47 , e ) 300.47

A: d
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Q: Problem: in a triangle abc , point d is on side ab and point e is on side ac , such that bced is a trapezium . de : bc = 3 : 5 . calculate the ratio of the area of triangle ade and the trapezium bced . 
Options: ['a ) 9 / 16', 'b ) 8 / 16', 'c ) 7 / 16', 'd ) 6 / 16', 'e ) 5 / 16']

A:
a
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