document.write( "Question 1101091: A club swimming pool is 17 ft wide and 33 ft long. The club members want an exposed aggregate border in a strip of uniform width around the pool. They have enough material for 600 ft squared ft 2. How wide can the strip be? \n" ); document.write( "

Algebra.Com's Answer #715666 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Let w be a uniform strip width.\r\n" );
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document.write( "Then the outside (exterior) dimensions of the larger rectangle are 17+2w and 33+2w.\r\n" );
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document.write( "The area of the larger rectangle is (17+2w)*(33+2w).\r\n" );
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document.write( "The equation for the area of the border strip around the pool is\r\n" );
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document.write( "(17+2w)*(33+2w) - 17*33 = 600,   or\r\n" );
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document.write( "34w + 66w + 4w^2 = 600,\r\n" );
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document.write( "4w^2 + 100w - 600 = 0  ====>\r\n" );
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document.write( "w^2 + 25w - 150 = 0,\r\n" );
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document.write( "Factor left side:\r\n" );
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document.write( "(w+30)*(w-5) = 0\r\n" );
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document.write( "The roots are w= -30  and  w= 5.\r\n" );
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document.write( "Only positive root makes sense:  w = 5 ft.\r\n" );
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document.write( "Answer.  The strip should be 5 ft wide.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see more similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Problems on the area and the dimensions of a rectangle surrounded by a strip\r
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