document.write( "Question 1017223: A 17ft. by 33ft. rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft. squared, how wide is the walkway? \n" ); document.write( "

Algebra.Com's Answer #633606 by ikleyn(52782) $\"\"$ $\"About$

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\n" ); document.write( "A 17ft. by 33ft. rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft. squared, how wide is the walkway?
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document.write( "Let x = the width of the walkway.\r\n" );
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document.write( "Then you have this equation to determine x:\r\n" );
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document.write( "(17 + 2x)*(33 + 2x) - 17*33 = 216.\r\n" );
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document.write( "Do you understand why it is your equation to determine x?\r\n" );
document.write( "Because it is the difference of the areas of two rectangles.\r\n" );
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document.write( "OK. Now let us solve it. Open the parentheses, and you will get\r\n" );
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document.write( " -  = ,   or\r\n" );
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document.write( " = ,   or\r\n" );
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document.write( " = ,   or dividing by 4 both sides\r\n" );
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document.write( " = ,\r\n" );
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document.write( "Factor the left side\r\n" );
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document.write( " = (x-2)*(x+27).\r\n" );
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document.write( "So the roots of the last quadratic equation are 2 and -27.\r\n" );
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document.write( "Only positive x = 2 suits.\r\n" );
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document.write( "Answer. The width of the walkway is 2 ft.\r\n" );
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