document.write( "Question 1147968: The floor of a rectangular room is completely covered with square tiles. The room is 9 tiles long and 5 tiles wide. Find the number of tiles that touch the walls or door of the room. \n" ); document.write( "
Algebra.Com's Answer #769318 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! 24 \n" ); document.write( "----- \n" ); document.write( "The workout:\r \n" ); document.write( "\n" ); document.write( "Along the perimeter: 2*9 + 2*5 = 28 but subtract 4 because each corner is counted twice, leaving 24.\r \n" ); document.write( "\n" ); document.write( "----\r \n" ); document.write( "\n" ); document.write( "More generally...\r \n" ); document.write( "\n" ); document.write( "To see the pattern, imagine the room has only 4 tiles in a 2x2 arrangment: the perimeter is 2*2+2*2 = 8, and subtracting 4 leaves 4.\r \n" ); document.write( "\n" ); document.write( "For a 3x3 configuration: 2*3+2*3 = 12, 12-4 = 8 (clearly correct as only the center tile does not touch a wall or door, and 3*3-1 = 8).\r \n" ); document.write( "\n" ); document.write( "etc.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |