document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207920>Question 1207920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A garden 7 m by 12 m will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92 im </SPAN>\n" );
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document.write( "Some time ago I solved a similar problem involving a 12 by 10 rectangle<BR>\n" );
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document.write( "The 12 by 10 rectangle enlarges to a (12+2x) by (10+2x) rectangle.\r<BR>\n" );
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document.write( "Using this template idea, your 7 by 12 rectangle enlarges to a (7+2x) by (12+2x) rectangle.<BR>\n" );
document.write( "A = Large rectangle area = (7+2x)*(12+2x) = 4x^2+38x+84<BR>\n" );
document.write( "B = small rectangle area = 7*12 = 84 square meters<BR>\n" );
document.write( "A-B = (4x^2+38x+84) - (84) = 4x^2+38x\r<BR>\n" );
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document.write( "A-B = area of the flower border = 92\r<BR>\n" );
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document.write( "4x^2+38x = 92<BR>\n" );
document.write( "4x^2+38x-92 = 0<BR>\n" );
document.write( "Use of the quadratic formula will yield the two roots x = -11.5 and x = 2<BR>\n" );
document.write( "A negative border width makes no sense, so we ignore it.\r<BR>\n" );
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document.write( "Answer: Border width is 2 meters<BR>\n" );
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