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


question:
Problem: the perimeter of one face of a cube is 32 cm . its volume will be : 
Options: a ) 125 cm 3 , b ) 400 cm 3 , c ) 512 cm 3 , d ) 625 cm 3 , e ) none of these
answer:
c


question:
Problem: find the area of a parallelogram with base 32 cm and height 15 cm . 
Options: a ) 200 , b ) 384 , c ) 345 , d ) 480 , e ) 242
answer:

d