TASK DEFINITION: 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: Problem: the length of a rectangle is halved , while its breadth is tripled . what is the % change in area ? 
Options: a ) 30 % , b ) 40 % , c ) 50 % , d ) 60 % , e ) 65 %

SOLUTION: c

PROBLEM: Problem: in the coordinate plane , one of the vertices of a square is the point ( - 4 , - 4 ) . if the diagonals of that square intersect at point ( 3 , 2 ) , what is the area of that square ? 
Options: a ) 180 , b ) 196 , c ) 160 , d ) 164 , e ) 172

SOLUTION: b

PROBLEM: Problem: the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 84 ounces of this substance ? 
Options: ['a ) 27', 'b ) 36', 'c ) 42', 'd ) 64', 'e ) 147']

SOLUTION:
b