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: what is the perimeter of a square field whose diagonal is 8 2 ?
Options: a ) 82 m , b ) 32 m , c ) 27 m , d ) 26 m , e ) 76 m
b

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: find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm ?
Options: a ) 188 cm 2 , b ) 165 cm 2 , c ) 168 cm 2 , d ) 198 cm 2 , e ) 987 cm 2
b