document.write( "Question 1121770: a rectangle garden measuring 80 by 60 meters has its area doubled by a border of uniform width along on both shorter sides and one longer sides. find the width of the border. \n" ); document.write( "
Algebra.Com's Answer #737785 by ankor@dixie-net.com(22740)\"\" \"About 
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a rectangle garden measuring 80 by 60 meters has its area doubled by a border of uniform width along on both shorter sides and one longer sides.
\n" ); document.write( " find the width of the border.
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\n" ); document.write( "let x = the width of the border
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\n" ); document.write( "The overall dimensions, including the border, (x+80) by (2x+60)
\n" ); document.write( "The area including the border 2(80*60) = 9600 sq/ft
\n" ); document.write( "the area equation
\n" ); document.write( "(x+80)(2x+60) = 9600
\n" ); document.write( "FOIL
\n" ); document.write( "2x^2 + 60x + 160x + 4800 = 9600
\n" ); document.write( "2x^2 + 220x + 4800 - 9600 = 0
\n" ); document.write( "2x^2 + 220x - 4800 = 0
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "x^2 + 110x - 2400 = 0
\n" ); document.write( "Use the quadratic formula; a=1; b=110; c = -2400
\n" ); document.write( "the positive solution
\n" ); document.write( "x = 18.6546 ft, or about 18 ft 8 inches is the width of the border
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\n" ); document.write( "See if that checks out
\n" ); document.write( "(18.6546+80) * (2(18.6546)+60)
\n" ); document.write( "98.6546 * 97.3092 = 9600.00 sq/ft, twice the original area
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