document.write( "Question 78609: 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( "
Algebra.Com's Answer #56425 by ankor@dixie-net.com(22740)\"\" \"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.
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\n" ); document.write( "Let the width of the pool = x
\n" ); document.write( "Then the length will = (x+6)
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\n" ); document.write( "Draw a diagram of this with the 4'walkway. It will be apparent that the over all
\n" ); document.write( "dimensions will be (x+8) by (x+6+8) or (x+14)
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\n" ); document.write( "Total area - pool area = 576
\n" ); document.write( "(x+14)*(x+8) - x(x+6) = 576
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\n" ); document.write( "x^2 + 22x + 112 - (x^2 + 6x) = 576
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\n" ); document.write( "x^2 + 22x + 112 - x^2 - 6x - 576 = 0
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\n" ); document.write( "22x - 6x + 112 - 576 = 0
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\n" ); document.write( "16x - 464 = 0
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\n" ); document.write( "16x = 464
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\n" ); document.write( "x = 464/16
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\n" ); document.write( "x = 29 ft is the width of the pool, length: 29+6 = 35 ft
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\n" ); document.write( "Check our solution of x=29
\n" ); document.write( "Overall - pool = 576
\n" ); document.write( "(37*43) - (29*35) =
\n" ); document.write( " 1591 - 1015 = 576 \n" ); document.write( "
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