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: the side of a square is increased by 20 % then how much % does its area increases ? 
Options: a ) 44.00 % , b ) 45.25 % , c ) 48.75 % , d ) 50.00 % , e ) 40.00 %
a

Problem: a rectangular window is twice as long as it is wide . if its perimeter is 18 feet , then what are its dimensions in feet ? 
Options: ['a ) 3 / 2 by 7 / 2', 'b ) 5 / 3 by 10 / 3', 'c ) 2 by 4', 'd ) 3 by 6', 'e ) 10 / 3 by 20 / 3']
d

Problem: each of the 39 points is placed either inside or on the surface of a perfect sphere . if 72 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? 
Options: a ) 7 , b ) 11 , c ) 13 , d ) 14 , e ) 38

d