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: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 3 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? 
Options: a ) 9 : 10 , b ) 19 : 20 , c ) 29 : 30 , d ) 39 : 40 , e ) 49 : 50
e

Problem: a cubical block of metal weighs 3 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? 
Options: a ) 48 , b ) 32 , c ) 24 , d ) 18 , e ) 12
c

Problem: the average length of the sides of triangle abc is 12 . what is the perimeter of triangle abc ? 
Options: ['a ) 4', 'b ) 6', 'c ) 12', 'd ) 24', 'e ) 36']

e