document.write( "Question 1178857: A rectangular swimming pool with
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document.write( "dimensions of 11m and 8m is built
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document.write( "in a rectangular backyard. The
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document.write( "area of the backyard is 1120m2
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document.write( ". If
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document.write( "the strip of the yard surrounding
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document.write( "the pool is of uniform width, how
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document.write( "wide is the strip? \n" );
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Algebra.Com's Answer #808326 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "A rectangular swimming pool with \n" ); document.write( "dimensions of 11m and 8m \n" ); document.write( "Area of pool = 11*8=88 m*2\r \n" ); document.write( "\n" ); document.write( "let the width of the of side walk be x\r \n" ); document.write( "\n" ); document.write( "total area = (11+2x)(8+2x)=1120\r \n" ); document.write( "\n" ); document.write( "88+22x+4x^2 +16x=1120\r \n" ); document.write( "\n" ); document.write( "4x^2+38x -1032=0\r \n" ); document.write( "\n" ); document.write( "4x^2-48x+86x-1032=0\r \n" ); document.write( "\n" ); document.write( "4x(x-12)+86(x-12)=0\r \n" ); document.write( "\n" ); document.write( "(x-12)(4x+86)=0\r \n" ); document.write( "\n" ); document.write( "roots 12, -21,5\r \n" ); document.write( "\n" ); document.write( "ignore negative\r \n" ); document.write( "\n" ); document.write( "x=12m the width of walkway\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |