document.write( "Question 87740: A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft squared, what is the width of the path....\r
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Algebra.Com's Answer #63677 by malakumar_kos@yahoo.com(315)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " Area of the garden =30.20 = 600ft^2 \n" ); document.write( " area of the remaining garden = 400ft^2 \n" ); document.write( " Area of the path = 600-400=200ft^2 \n" ); document.write( " let the width of the path be =xft its length = x+10 ft \n" ); document.write( " Area = l.b x(x+10)=200 x^2+10x-200=0 x^2+20x-10x-200=0 \n" ); document.write( " x(x+20)-10(x+20)=0 \n" ); document.write( " therefore (x+20)(x-10)=0 x-10=0 therefore x=10 and x+10=10+10=20 \n" ); document.write( " \n" ); document.write( " width of the path =10ft and its length =20ft \n" ); document.write( " |