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: the length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size . if the area of the new rectangle is equal to 1800 square meters , what is the area of the original rectangle ? 
Options: ['a ) 300 square meters', 'b ) 400 square meters', 'c ) 500 square meters', 'd ) 600 square meters', 'e ) 700 square meters']
a

Problem: a rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . feet , how many feet of fencing will be required ? 
Options: ['a ) 80 feet', 'b ) 85 feet', 'c ) 83 feet', 'd ) 88 feet', 'e ) 90 feet']
d

Problem: the perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? 
Options: ['a ) 30', 'b ) 31', 'c ) 32', 'd ) 34', 'e ) 35']

e