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: 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

SOLUTION: e

PROBLEM: Problem: what is the measure of the angle e made by the diagonals of the any adjacent sides of a cube . 
Options: ['a ) 30', 'b ) 45', 'c ) 60', 'd ) 75', 'e ) 90']

SOLUTION: c

PROBLEM: Problem: a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? 
Options: a ) 2999 , b ) 1350 , c ) 2677 , d ) 2898 , e ) 2787

SOLUTION:
b