document.write( "Question 898236: A 23-ft by 47-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 296^2, how wide is the walkway? \n" ); document.write( "
Algebra.Com's Answer #544730 by ankor@dixie-net.com(22740)\"\" \"About 
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A 23-ft by 47-ft rectangular swimming pool is surrounded by a walkway of uniform width.
\n" ); document.write( " If the total area of the walkway is 296^2, how wide is the walkway?
\n" ); document.write( ":
\n" ); document.write( "let x = width of the walkway
\n" ); document.write( "then the overall dimensions of the pool and the walkway:
\n" ); document.write( "(2x+23) by (2x+47)
\n" ); document.write( ":
\n" ); document.write( "Over-all area - pool area = walkway area (given as 296 cu/ft)
\n" ); document.write( "(2x+23)(2x+47) - (23*47) = 296
\n" ); document.write( "4x^2 + 94x + 46x + 1081 - 1081 = 296
\n" ); document.write( "Combine like terms to form a quadratic equation
\n" ); document.write( "4x^2 + 140x - 296 = 0
\n" ); document.write( "Simplify, divide by 4
\n" ); document.write( "x^2 + 35x - 74 = 0
\n" ); document.write( "factors to
\n" ); document.write( "(x+37)(x-2) = 0
\n" ); document.write( "the positive solution is the only reasonable solution
\n" ); document.write( "x = 2 ft is the width of the walkway
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this
\n" ); document.write( "(27*51) - (23*47) =
\n" ); document.write( "1377 - 1081 = 296\r
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