instruction:
In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
question:
Problem: the ratio of the areas of two squares , one having double its diagonal then the other is :
Options: ['a ) 2 : 1', 'b ) 1 : 2', 'c ) 2 : 3', 'd ) 1 : 4', 'e ) 4 : 1']
answer:
e

question:
Problem: 80 pie square inches of material of negligible thickness are required to construct a 1 / 16 scale model of a cylindrical barrel . if the diameter of the base of the barrel is 160 inches , then what is the volume of the barrel , to the nearest cubic foot ?
Options: ['a ) 2 pie', 'b ) 11 pie', 'c ) 178 pie', 'd ) 711 pie', 'e ) 1280 pie']
answer:
c

question:
Problem: abcd is a square aegf is a rectangle . . such that the rectangle shares 25 % of the area of the suare also ae lies on the line ab and ag lies on segment of ad . if the square shares half the area of the rectangle what is the ratio ae : ag ?
Options: ['a ) 1 : 4', 'b ) 8 : 1', 'c ) 4 : 1', 'd ) 3 : 1', 'e ) 1 : 3']
answer:
b