document.write( "Question 177922: A rectangular pool measures 8m by 4m. A deck of unifrom width is to be built all the way around the pool such that the total area of the pool and deck will be 96m^2. Set up and solve a quadratic equation to determine the width of the deck. \n" ); document.write( "
Algebra.Com's Answer #132948 by Mathtut(3670)\"\" \"About 
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the key is it is a uniform in width meaning the same all around the pool
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\n" ); document.write( "so lets call this uniform distance x
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\n" ); document.write( "so the length of the total area is 8+2x and the width is 4+2x. L=8+2x,W=4+2x
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\n" ); document.write( "\"%288%2B2x%29%284%2B2x%29=96\"
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\n" ); document.write( "\"32%2B16x%2B8x%2B4x%5E2=96\"
\n" ); document.write( ":
\n" ); document.write( "\"4x%5E2%2B24x-64=0\"
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\n" ); document.write( "\"x%5E2%2B6x-16=0\"
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\n" ); document.write( "\"%28x%2B8%29%28x-2%29=0\"
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\n" ); document.write( "so x is either -8 or 2.....since lengths arent negative our answer is
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\n" ); document.write( "x=2 meters
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\n" ); document.write( "W=4+2x=8 meters
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