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 ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 54 square centimeters , what is the length of the rectangle in centimeters ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
[A]: d


[Q]: Problem: v is the volume of a cylinder ; the radius of the cylinder is 3.5 . the height of the cylinder is 650 % more than the radius . which of the following is true ? 
Options: ['a ) 100 < v < 300', 'b ) 300 < v < 500', 'c ) 500 < v < 700', 'd ) 700 < v < 900', 'e ) 900 < v < 1100']
[A]: d


[Q]: Problem: the length of rectangle is thrice its breadth and its perimeter is 120 m , find the area of the rectangle ? 
Options: a ) 432 sq m , b ) 356 sq m , c ) 452 sq m , d ) 428 sq m , e ) 675 sq m
[A]:
e