document.write( "Question 1031094: In a room each wall is x feet. If you extend the room by 15 ft each way, the new area of the room is 900 ft. What was the original lengths of the walls? \n" ); document.write( "
Algebra.Com's Answer #645804 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! Set x = the original wall length \n" ); document.write( "Each wall in the extended room is ( x + 15 ) \n" ); document.write( "So the area is ( x + 15 )( x + 15 ) \n" ); document.write( "( x + 15 )( x + 15 ) = 900 \n" ); document.write( " \n" ); document.write( "add -900 to each side \n" ); document.write( " \n" ); document.write( "Factoring \n" ); document.write( "(x + 45)(x - 15) = 0 \n" ); document.write( "So x = -45 or x = 15 \n" ); document.write( "We cannot have a negative length, \n" ); document.write( "so the original length is 15 \n" ); document.write( " \n" ); document.write( " |