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 ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 294 sq . cm , what is the length of the rectangle ? 
Options: a ) 15 cm , b ) 18 cm , c ) 21 cm , d ) 24 cm , e ) 27 cm
c

Problem: if y is the smallest positive integer such that 3,675 multiplied by y is the square of an integer , then y must be 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 12
e

Problem: the area of a triangle will be when a = 1 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ? 
Options: a ) 2 , b ) 7 , c ) 5 , d ) 3 , e ) 4

c