document.write( "Question 327431: if 21-2x=-9x then x= \n" ); document.write( "

Algebra.Com's Answer #234554 by stanbon(75887) $\"\"$ $\"About$

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A rectangular pool is surrounded by a walk 4 meters wide. The pool is 6 meters longer than its width. If the total area is 576 square meters more than the area of the pool, find the dimensions of the pool.
\n" ); document.write( "How do they get the answer? I've tried by making Total Area = x^2+6x+576, but have been unable to obtain the answer.
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\n" ); document.write( "Pool width: \"x\" meters
\n" ); document.write( "Pool length: \"x+6\" meters
\n" ); document.write( "Area of the pool: x^2+6x sq. meters
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\n" ); document.write( "Total width : x+8
\n" ); document.write( "Total length: x+6+8 = x+14
\n" ); document.write( "Total Area: (x+8)(x+14) = x^2+22x+112 sq meters
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\n" ); document.write( "Equation:
\n" ); document.write( "Total area - Pool area = 576 sq. meters
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\n" ); document.write( "x^2+22x+112 - x^2+6x = 576
\n" ); document.write( "16x +112= 576
\n" ); document.write( "16x = 464
\n" ); document.write( "x = 29 meters (pool width)
\n" ); document.write( "x+6 = 35 meters (pool length)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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