document.write( "Question 230898: Word Problem Two -A rectangular plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of a uniform width. The area of the sidewalk is 68 square meters. Find the width of the walk.. (Show a complete algebraic solution for the problem and check the answer.)\r
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\n" ); document.write( "\n" ); document.write( "I DREW A PICTURE THEN WAS LOST….
\n" ); document.write( "He said that you can possibly use quadratic equation but don’t have to..
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Algebra.Com's Answer #170993 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let the width of the walk = \"w\"
\n" ); document.write( "Then the area of the plot plus
\n" ); document.write( "the walk is:
\n" ); document.write( "\"%2812+%2B+2w%29%2A%2820+%2B+2w%29\"
\n" ); document.write( "The area of the plot is given as:
\n" ); document.write( "\"12%2A20+=+240\" m2
\n" ); document.write( "The area of the walk is given as \"68\" m2
\n" ); document.write( "Thus, the area of the plot plus walk is
\n" ); document.write( "\"240+%2B+68+=+308\", so
\n" ); document.write( "\"%2812+%2B+2w%29%2A%2820+%2B+2w%29+=+308\"
\n" ); document.write( "\"240+%2B+40w+%2B+24w+%2B+4w%5E2+=+308\"
\n" ); document.write( "\"4w%5E2+%2B+64w+%2B+240+-+308+=+0\"
\n" ); document.write( "\"4w%5E2+%2B+64w+-+68+=+0\"
\n" ); document.write( "\"w%5E2+%2B+16w+-+17+=+0\"
\n" ); document.write( "I can solve by completing the square
\n" ); document.write( "\"w%5E2+%2B+16w+%2B+%2816%2F2%29%5E2+=+17+%2B+%2816%2F2%29%5E2\"
\n" ); document.write( "\"w%5E2+%2B+16w+%2B+64+=+17+%2B+64\"
\n" ); document.write( "\"%28w+%2B+8%29%5E2+=+81\"
\n" ); document.write( "Take square root of both sides
\n" ); document.write( "\"w+%2B+8+=+9\"
\n" ); document.write( "\"w+=+1\" m
\n" ); document.write( "The walk is 1 meter wide
\n" ); document.write( "check:
\n" ); document.write( "\"%2812+%2B+2w%29%2A%2820+%2B+2w%29+=+308\"
\n" ); document.write( "\"%2812+%2B+2%2A1%29%2A%2820+%2B+2%2A1%29+=+308\"
\n" ); document.write( "\"14%2A22+=+308\"
\n" ); document.write( "\"308+=+308\"
\n" ); document.write( "OK
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