document.write( "Question 915319: a footpath of uniform width run round the inside of a rectangular field 38 meter long and 32 meter wide. If path occupies 600 meter square .Find the width ?
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Algebra.Com's Answer #555530 by MathLover1(20850)\"\" \"About 
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Outer length of the rectangular field = 38 m
\n" ); document.write( "Outer breadth of the rectangular field = 32 m\r
\n" ); document.write( "\n" ); document.write( "Outer Area:\"A%5Bo%5D+=+38m%2A+32m+=+1216+m%5E2\"
\n" ); document.write( "Let the width of the path be '\"w\"' meters\r
\n" ); document.write( "\n" ); document.write( "Inner length of the rectangular field:\"L%5BI%5D+=+%2838-+2w%29m\"
\n" ); document.write( "Inner breadth of the rectangular field:\"W%5BI%5D+=+%2832-2w%29m\"\r
\n" ); document.write( "\n" ); document.write( "Inner area \"A%5BI%5D=+%2838+-2w%29%2832-2w%29+=1216-76w-64w%2B4w%5E2+=4w%5E2-140w+%2B+1216\"\r
\n" ); document.write( "\n" ); document.write( "Area of the path:\"A%5Bp%5D+=+A%5Bo%5D+-A%5BI%5D+=+1216-%284w%5E2+-+140w+%2B+1216%29=+600\"\r
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\n" ); document.write( "\n" ); document.write( "\"1216-%284w%5E2-140w+%2B+1216%29=+600\"\r
\n" ); document.write( "\n" ); document.write( "\"1216-%284w%5E2+-140w+%2B+1216%29-+600=0\"\r
\n" ); document.write( "\n" ); document.write( "\"616+-4w%5E2+%2B+140w+-1216=0\"\r
\n" ); document.write( "\n" ); document.write( " \"-4w%5E2+%2B+140w+-600=0\" \r
\n" ); document.write( "\n" ); document.write( "\"4w%5E2+-140w+%2B600=0\"\r
\n" ); document.write( "\n" ); document.write( "\"4%28w%5E2+-35w+%2B150%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"4%28w%5E2-30w-5w%2B150%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"4%28%28w%5E2-30w%29-%285w-150%29%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"4%28w%28w-30%29-5%28w-30%29%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"4%28w-5%29%28w-30%29=0\"\r
\n" ); document.write( "\n" ); document.write( "solution\r
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\n" ); document.write( "\n" ); document.write( "if \"w-5=0\"=>\"w=5\"\r
\n" ); document.write( "\n" ); document.write( "if \"w-30=0\"=>\"w=30\"\r
\n" ); document.write( "\n" ); document.write( "Since the outer breadth of the field is \"32m\", breadth of the rectangular field is \"5m\".
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