document.write( "Question 256203: Polynomial word problems help!\r
\n" ); document.write( "\n" ); document.write( "A cement walk of uniform width surrounds a rectangular swimming pool that is 10 m wide and 50 m long. Find the width of the walk it its area is 864 m^2.
\n" ); document.write( "

Algebra.Com's Answer #188373 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
First draw a rectangle and label it 10m on the length and 50m on the width.
\n" ); document.write( "Second draw a rectangle around the pool and place an x to the left and right of the 10 and above and below the 50.
\n" ); document.write( "step 1 - area of pool.
\n" ); document.write( "A = LW = 10*50 = 500
\n" ); document.write( "step 2 - area of pool + walkway = 864
\n" ); document.write( "(i) A = \"%2810%2B2x%29%2850%2B2x%29+-+500+=+864\"
\n" ); document.write( "(ii) A = \"%284x%5E2%2B120x%2B500%29+-+500+=+864\"
\n" ); document.write( "(iii) A = \"4x%5E2%2B120x+=+864\"
\n" ); document.write( "setting = 0, we get
\n" ); document.write( "(iv) \"4x%5E2+%2B+120x+-+864+=+0\"
\n" ); document.write( "dividing by 4 and then factoring, we get
\n" ); document.write( "(vi) \"%28x-6%29%28x%2B36%29+=+0\"
\n" ); document.write( "So,
\n" ); document.write( "x = 6 or x = -36.
\n" ); document.write( "width of the walk is 6m.
\n" ); document.write( "
\n" );