document.write( "Question 38576: A family plans to surround their pool with a patio of constant width. The pool has an area of 150 square feet. The dimensions of the pool with the patio will be 15 feet by 20 feet. Find the dimensions of the pool.
\n" ); document.write( "Thanks for answering!:-) \n" ); document.write( "

Algebra.Com's Answer #24131 by Paul(988) $\"\"$ $\"About$

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Letting x be the width of the patio:
\n" ); document.write( "Equation:
\n" ); document.write( "150=(15-2x)(20-2x)
\n" ); document.write( " $\"150=300%2B4x%5E2-70x\"$
\n" ); document.write( " $\"4x%5E2-70x%2B150\"$
\n" ); document.write( " $\"2x%5E2-35x%2B75=0\"$
\n" ); document.write( " $\"2%28x%5E2-17.5x%2B37.5%29=0\"$
\n" ); document.write( " $\"2%28x-2.5%29%28x-15%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "x=2.5
\n" ); document.write( "Hence, the unifrom width is 2.5ft.
\n" ); document.write( "Paul. \n" ); document.write( "

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