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: two equal triangles constitute rhombus a . if the diagonals of rhombus are 15 cm and 20 cm long . what is the area of each triangle ? 
Options: ['a ) 300', 'b ) 150', 'c ) 75', 'd ) 40', 'e ) 20']

A: c
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Q: Problem: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 192 , what is the area of the side face of the box ? 
Options: a ) 13 , b ) 16 , c ) 18 , d ) 29 , e ) 32

A: e
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Q: Problem: abcd is a square aegf is a rectangle . . such that the rectangle shares 25 % of the area of the suare also ae lies on the line ab and ag lies on segment of ad . if the square shares half the area of the rectangle what is the ratio ae : ag ? 
Options: ['a ) 1 : 4', 'b ) 8 : 1', 'c ) 4 : 1', 'd ) 3 : 1', 'e ) 1 : 3']

A:
b
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