document.write( "Question 148801: I each dimension of room is increased one meter, the area is increased by 51 meters; and if the length is increased one meter and the width diminished by one meter, the area is decreased three square meters. Find the dimensions of the room? \n" ); document.write( "
Algebra.Com's Answer #109133 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If each dimension of a room is increased one meter, the area is increased by 51 meters; and if the length is increased one meter and the width diminished by one meter, the area is decreased three square meters. Find the dimensions of the room? \n" ); document.write( "------------ \n" ); document.write( "Let the original dimensions be x and y. \n" ); document.write( "Original area = xy sq meters \n" ); document.write( "------------------------------- \n" ); document.write( "Change dimensions: \n" ); document.write( "New area - old area = 51 \n" ); document.write( "(x+1)(y+1)-xy = 51 \n" ); document.write( "(x+1)(y-1) -xy = -3 \n" ); document.write( "-------------- \n" ); document.write( "Rearrange: \n" ); document.write( "x + y = 50 \n" ); document.write( "-x+ y = -2 \n" ); document.write( "--------------- \n" ); document.write( "Adding you get: \n" ); document.write( "2y = 48 \n" ); document.write( "y = 24 (one original dimention) \n" ); document.write( "Then x = 26 (the other original dimention) \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |