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 Q]: Problem: the length of the side of a square is represented by x + 2 . the length of the side of an equilateral triangle is 2 x . if the square and the equilateral triangle have equal perimeter , then the value of x is ?
Options: a ) 5 , b ) 7 , c ) 4 , d ) 8 , e ) 6
[EX A]: c

[EX Q]: Problem: if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer , then g must be
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14
[EX A]: e

[EX Q]: Problem: a cube of edge 15 cm is imersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in waer level .
Options: ['a ) 11.25 cm .', 'b ) 12.25 cm', 'c ) 13.25 cm', 'd ) 14.25 cm', 'e ) none of these']
[EX A]:
a