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)\"\" \"About 
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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
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