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

Problem: in two triangle , the ratio of the areas is 4 : 3 and that of their heights is 3 : 4 the ratio of their bases is 
Options: ['a ) 16 : 9', 'b ) 9 : 16', 'c ) 9 : 12', 'd ) 16 : 12', 'e ) 4 : 12']
a

Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the length of the rectangle ? 
Options: ['a ) 12 cm', 'b ) 15 cm', 'c ) 18 cm', 'd ) 21 cm', 'e ) 24 cm']
b

Problem: what is the probability of getting equilateral triangles from the vertices of regular hexagon ? 
Options: a ) 1 / 10 , b ) 2 / 10 , c ) 3 / 10 , d ) 4 / 10 , e ) 5 / 10

a