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: the value of " a " varies in inverse proportion as the square of " b " . if the value of " a " is equal to 40 when " b " is equal to 12 . what would be the value of " a " when " b " is equal to 24 ?
Options: ['a ) 10', 'b ) 88', 'c ) 26', 'd ) 27', 'e ) 28']

SOLUTION: a

PROBLEM: Problem: the surface area of a sphere is 4 r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area t of that hemisphere ?
Options: a ) 6 / , b ) 9 / , c ) 6 , d ) 9 , e ) 12

SOLUTION: d

PROBLEM: Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 256 sq . feet , how many feet of fencing will be required ?
Options: a ) 45.6 , b ) 40 , c ) 68 , d ) 88 , e ) 92

SOLUTION:
a