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: in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 3 , - 1 ) , ( 3 , 8 ) , ( 12 , 2 ) , ( 12 , - 7 ) ? 
Options: a ) 69 , b ) 75 , c ) 81 , d ) 87 , e ) 93

SOLUTION: c

PROBLEM: Problem: the length of a rectangle is one - fourth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? 
Options: ['a ) 350 sq . units', 'b ) 250 sq . units', 'c ) 300 sq . units', 'd ) 200 sq . units', 'e ) 100 sq . units']

SOLUTION:
d