document.write( "Question 1166193: A farmer has a 40 foot by 50 foot rectangular field that he wants to reduce to 10% of its original size. How wide of a strip should he cut around the edge of his field to do this? \n" ); document.write( "

Algebra.Com's Answer #790698 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A farmer has a 40 foot by 50 foot rectangular field that he wants to reduce to 10% of its original size.
\n" ); document.write( "How wide of a strip should he cut around the edge of his field to do this?
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\n" ); document.write( "\n" ); document.write( " The problem formulation is OUTRAGEOUSLY inaccurate.\r
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\n" ); document.write( "\n" ); document.write( " The accurate formulation is THIS \r
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document.write( "              A farmer has a 40 foot by 50 foot rectangular field that he wants to reduce to 10% of its original  AREA. \r\n" );
document.write( "              How wide of a strip should he cut around the edge of his field to do this? \r\n" );
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\n" ); document.write( "\n" ); document.write( "The difference is in one word, but it is a KEY WORD (!)\r
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document.write( "His field is now 40 by 50 feet having the area of 40*50 = 2000 square feet.\r\n" );
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document.write( "If he wants to reduce the area  to 10% of its original area, then the new area should be 200 square feet.\r\n" );
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document.write( "Since he wants to cut the uniform strip, the difference of new dimensions must be the same, as \r\n" );
document.write( "the difference of old dimensions, i.e. 50-40 = 10 feet.\r\n" );
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document.write( "So we need to find new dimensions with the difference of 10 feet and with the product (the area) of 200.\r\n" );
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document.write( "5 seconds mental guessing give you the answer:  new dimensions are 10 feet and 20 feet.\r\n" );
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document.write( "And then the uniform wide of the strip is   = 15 feet.    ANSWER\r\n" );
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