document.write( "Question 523229: A rectangular garden is twice as long as it is wide and is surrounded by a sidewalk that is 4 ft wide. The area of the sidewalk is 1024 ft sq. Find the
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document.write( "dimensions of the garden. \n" );
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Algebra.Com's Answer #347237 by mananth(16946)![]() ![]() You can put this solution on YOUR website! width of garden x \n" ); document.write( "length of garden= 2 x \n" ); document.write( "sidewalk width= 4 \n" ); document.write( "Area of garden + walkaway= x*( 2 x)\r \n" ); document.write( "\n" ); document.write( " Area of sidewalk 1024 M^2 \n" ); document.write( "with including walkway x + 8 \n" ); document.write( "length including walkway(2x +8 ) \n" ); document.write( "Total area – Area ofgarden = Area of sidewalk \n" ); document.write( " \n" ); document.write( "Total area = (x+8)*( 2x+8) \n" ); document.write( " \n" ); document.write( "(x+8)*( 2x+8)- x*(2x)=1024 \n" ); document.write( " \n" ); document.write( "2x^2+8x+16x+64-2x^2=1024 \n" ); document.write( " \n" ); document.write( " x^2 + 24 x + 64 = 1024 \n" ); document.write( " \n" ); document.write( "24 x = 960 \n" ); document.write( "/ 24 \n" ); document.write( "x= 40 Meters width of garden \n" ); document.write( " 80 Meters length of garden \n" ); document.write( "CHECK \n" ); document.write( " \n" ); document.write( "48 * 88 = 4224 M^2 \n" ); document.write( "40 * 80 = 3200 M^2 \n" ); document.write( " 1024 M^2 \n" ); document.write( " \n" ); document.write( " |