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: how many internal diagonals does a hexagon ( 6 sided polygon ) have ?
Options: a ) 5 , b ) 6 , c ) 8 , d ) 9 , e ) 10
answer:
d

question:
Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ' s area is 220 square feet and its length is 12 feet longer than its width . if the uniform width between the rug and room is 12 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ?
Options: a ) 32 , b ) 1136 , c ) 40 , d ) 1344 , e ) 104
answer:
d

question:
Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 4 : 40 : 90 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 200 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ?
Options: ['a ) 1300', 'b ) 1500', 'c ) 1600', 'd ) 1700', 'e ) 1800']
answer:
e