document.write( "Question 587842: A rectangular plot measures 12m by 5m.A path of width constant width runs along one side and one end.if the total area of the plot and path is physics 120m find the width of the path. \n" ); document.write( "
Algebra.Com's Answer #374258 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A rectangular plot measures 12m by 5m. \n" ); document.write( "A path of width constant width runs along one side and one end. \n" ); document.write( "if the total area of the plot and path is physics 120m find the width of the path. \n" ); document.write( ": \n" ); document.write( "Let x = the width of the path \n" ); document.write( "with a path on one side and one end the overall dimensions will be: \n" ); document.write( "(x+12) by (x+5) \n" ); document.write( ": \n" ); document.write( "Area: \n" ); document.write( "(x+12)*(x+5) = 120 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 5x + 12x + 60 = 120 \n" ); document.write( "x^2 + 17x + 60 - 120 = 0 \n" ); document.write( "x^2 + 17x - 60 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(x+20)(x-3) = 0 \n" ); document.write( "Positive solution \n" ); document.write( "x = 3 meters is the width of the path \n" ); document.write( "; \n" ); document.write( " \n" ); document.write( " |