document.write( "Question 1021078: Pool 20 feet long and 12 feet wide, how wide is the safety walkway if the walkway area 228 \n" ); document.write( "

Algebra.Com's Answer #636856 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "Pool 20 feet long and 12 feet wide, how wide is the safety walkway if the walkway area 228
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document.write( "Your equation is \r\n" );
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document.write( "(20 + 2x)*(12+2x) - 20*12 = 228,\r\n" );
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document.write( "where x is the width of the walkway in feet.\r\n" );
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document.write( "Left side is the difference of the areas of two rectangles.\r\n" );
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document.write( "Now simplify the equation:\r\n" );
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document.write( " = ,\r\n" );
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document.write( " = .\r\n" );
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document.write( "Reduce by the factor 4:\r\n" );
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document.write( " = .\r\n" );
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document.write( "Factor left side:\r\n" );
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document.write( "(x+19)*(x-3) = 0.\r\n" );
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document.write( "The roots are x = -19 and x = 3.\r\n" );
document.write( "Only positive value does fit the condition.\r\n" );
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document.write( "Answer. The width of the walkway is 3 ft.\r\n" );
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