document.write( "Question 389215: the length of a plot is 5 meters longer than the width. the area of the plot of land is 500 square meters. what is the length in meters of the plot of land? \n" ); document.write( "

Algebra.Com's Answer #275773 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,   the length of a plot is 5 meters longer than the width      
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document.write( "Let x  and (x+5m) represent the width and length respectively
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document.write( "  Area = width*length 
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document.write( "Question states*** 
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document.write( "  x(x+5m) = 500 m^2
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document.write( " Solving for x
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document.write( "  x^2 + 5x - 500 = 0
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document.write( "factoring
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document.write( "(x+25)(x-20)= 0 Note:SUM of the inner product(25x) and the outer product(-20x) = 5x
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document.write( "(x+25)= 0
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document.write( "  x =-25  tossing out negative solution for the number of meters
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document.write( " (x-20)= 0
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document.write( "x = 20m, the width.  Length is 25m    (20m + 5m)\r
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document.write( "CHECKING our Answer
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document.write( " 20m*25m = 500 m^2 \n" );
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