In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Example Input: Problem: a rectangular tiled patio is composed of 126 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 126 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? 
Options: ['a ) 5', 'b ) 6', 'c ) 9', 'd ) 13', 'e ) 28']
Example Output: c

Example Input: Problem: the length of a rectangle is reduced by 15 % . by what % would the width have to be increased to maintain the original area ? 
Options: ['a ) 10 %', 'b ) 20 %', 'c ) 17.6 %', 'd ) 30 %', 'e ) 35 %']
Example Output: c

Example Input: Problem: the number 61 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? 
Options: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13
Example Output:
e