document.write( "Question 821353: Endre Borsos has a pool 24 ft long and 10 ft wide. He wants to construct a concrete walk around the pool. If he plans for the walk to be of uniform width and cover 152ft^2, what will the width of the walk be?
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Algebra.Com's Answer #494077 by ankor@dixie-net.com(22740)\"\" \"About 
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a pool 24 ft long and 10 ft wide.
\n" ); document.write( " He wants to construct a concrete walk around the pool.
\n" ); document.write( " If he plans for the walk to be of uniform width and cover 152ft^2,
\n" ); document.write( " what will the width of the walk be?
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\n" ); document.write( "Let x = the width of the walk
\n" ); document.write( "The walkway will add 2x to the length and width of overall area
\n" ); document.write( "(2x+24) by (2x+10) is the overall dimensions
\n" ); document.write( "The equation
\n" ); document.write( "overall area - pool area = walkway area
\n" ); document.write( "(2x+24)*(2x+10) - (24*10) = 152
\n" ); document.write( "FOIL
\n" ); document.write( "4x^2 + 20x + 48x + 240 - 240 = 152
\n" ); document.write( "Combine like terms, to form a quadratic equation on the left
\n" ); document.write( "4x^2 + 68x - 152 = 0
\n" ); document.write( "Simplify, divide by 4
\n" ); document.write( "x^2 + 17x - 38 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+19) (x-2) = 0
\n" ); document.write( "The positive solution is all we want here
\n" ); document.write( "x = 2 ft is the width of the walk
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\n" ); document.write( "See if this works out
\n" ); document.write( "28*14 = 392
\n" ); document.write( "24*10 = 240
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\n" ); document.write( "diff: 152 \n" ); document.write( "
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