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 of the radius of two circles is 1 : 3 , and then the ratio of their areas is ? 
Options: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 9 , d ) 1 : 3 , e ) 1 : 2

A: c
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Q: Problem: a metallic sheet is of rectangular shape with dimensions 50 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : 
Options: a ) 5440 , b ) 5120 , c ) 6420 , d ) 7500 , e ) 8960

A: a
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Q: Problem: the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4800 sq cm . what is the ratio of the width and the area of the rectangle ? 
Options: ['a ) 1 : 72', 'b ) 1 : 76', 'c ) 1 : 80', 'd ) 1 : 84', 'e ) 1 : 88']

A:
c
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