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

[Q]: Problem: the length and the breadth of a rectangle are in the ratio of 3 : 2 respectively . if the sides of the rectangle are extended on each side by 1 metre , the ratio of length to breadth becomes 10 : 7 . find the area of the original rectangle in square metres .
Options: ['a ) 256', 'b ) 150', 'c ) 280', 'd ) data inadequate', 'e ) none of these']
[A]: e

[Q]: Problem: 34 . the side surface of a cylinder is rolled with a rectangle . if the height of a cylinder is 16 feet and the perimeter of the circular base . is 12 feet , what is the diagonal of the rectangle ?
Options: ['a ) 16', 'b ) 20', 'c ) 18', 'd ) 22', 'e ) 21']
[A]: b

[Q]: Problem: if the sides of a triangle are 30 cm , 40 cm and 50 cm , what is its area ?
Options: a ) 400 , b ) 500 , c ) 550 , d ) 600 , e ) 700
[A]:
d