document.write( "Question 567874: A square lawn is surrounded by a path 2.5 m wide around it . If the area of the path is 200 sq m , find the area of the lawn \n" ); document.write( "
Algebra.Com's Answer #366784 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the side be x\r \n" ); document.write( "\n" ); document.write( "Area of square = side ^2\r \n" ); document.write( "\n" ); document.write( "area = x^2\r \n" ); document.write( "\n" ); document.write( "width = 2.5\r \n" ); document.write( "\n" ); document.write( "length increases by 5 m\r \n" ); document.write( "\n" ); document.write( "Area including width = (x+5)(x+5)= (x+5)^2\r \n" ); document.write( "\n" ); document.write( "(x+5)^2-x^2=2000\r \n" ); document.write( "\n" ); document.write( "x^2+10x+25-x^2=200\r \n" ); document.write( "\n" ); document.write( "10x=200-25 \n" ); document.write( "10x=175 \n" ); document.write( "/10 \n" ); document.write( "x= 17.5 m \n" ); document.write( " |