document.write( "Question 389785: My problem is as follows, a swimming pool 6 meters wide and 10 meters long is to be surrounded by a walk of uniform width. The area of the walk happens to equal the area of the pool. What is the with of the walk? \n" ); document.write( "
Algebra.Com's Answer #276325 by josmiceli(19441)\"\" \"About 
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Let \"x\" = the width of the walk
\n" ); document.write( "The area of the swimming pool is \"6%2A10+=+60\" m2
\n" ); document.write( "The walk has the same area
\n" ); document.write( "Therefore the area of the pool plus the area of the walk
\n" ); document.write( "is \"2%2A60+=+120\" m2
\n" ); document.write( "Each side of the pool is increased by \"2x\"
\n" ); document.write( "\"%286+%2B+2x%29%2A%2810+%2B+2x%29+=+120\"
\n" ); document.write( "\"60+%2B+20x+%2B+12x+%2B+4x%5E2+=+120\"
\n" ); document.write( "\"4x%5E2+%2B+32x+-+60+=+0\"
\n" ); document.write( "\"x%5E2+%2B+8x+-+15+=+0\"
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+1\"
\n" ); document.write( "\"b+=+8\"
\n" ); document.write( "\"c+=+-15\"
\n" ); document.write( "\"x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A%28-15%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%28-8+%2B-+sqrt%28+64+%2B+60+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%28-8+%2B+sqrt%28124%29%29%2F2\"
\n" ); document.write( "\"x+=%28+-8+%2B+11.136%29%2F2\"
\n" ); document.write( "\"x+=+3.136%2F2\"
\n" ); document.write( "\"x+=+1.568\"
\n" ); document.write( "The width of the walk is 1.568 m
\n" ); document.write( "check answer:
\n" ); document.write( "\"%286+%2B+2x%29%2A%2810+%2B+2x%29+=+120\"
\n" ); document.write( "\"%286+%2B+3.136%29%2A%2810+%2B+3.136%29+=+120\"
\n" ); document.write( "\"9.136%2A13.136+=+120\"
\n" ); document.write( "\"12.272%2A16.272+=+120\"
\n" ); document.write( "\"120.010+=+120\"
\n" ); document.write( "close enough
\n" ); document.write( "
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