A rectangular tiled patio is composed of 160 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 160 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout? Choose the correct choice from the following choices.
A) 5
B) 6
C) 10
D) 13
E) 28
Suppose there are c columns and there are r rows   Original Situation   So, Number of tiles = c*r = 160   Also. Reach column has r tiles and each row has c tiles   New Situation   Number of tiles in each column is r-2 and number of tiles in each row is c+4   So, number of rows = r-2 and number of columns is c+4   So, Number of tiles = (r-2)*(c+4) = 160   10omparing both of them we get   c*r = (r-2)*(c+4)   =&gt; 4r -2c = 8   c = 2r - 4   Putting it in c*r=160   (2r-4)*r = 160   2r^2 - 4r - 160=0   r cannot be negative so r = 10   and c = 16   So, Answer will be 10
<result>C</result>
A rectangular tiled patio is composed of 160 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 160 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?