document.write( "Question 838704: A gardener has a 30 foot by 20 foot rectangular plot of ground. She wants to build a
\n" ); document.write( "brick walkway of uniform width on the border of the plot. If the gardener wants to
\n" ); document.write( "have 400 square feet of ground left for planting, how wide (to 2 decimal places)
\n" ); document.write( "should she build the walkway?
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Algebra.Com's Answer #505275 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
If the walkway is of uniform width, then I can say:
\n" ); document.write( "\"+%28+30+-+2x+%29%2A%28+20+-+2x+%29+=+400+\"
\n" ); document.write( "\"+600+-+40x+-+60x+%2B+4x%5E2+=+400+\"
\n" ); document.write( "\"+4x%5E2+-+100x+%2B+200+=+0+\"
\n" ); document.write( "\"+x%5E2+-+25x+%2B+50+=+0+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+x+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+-25+\"
\n" ); document.write( "\"+c+=+50+\"
\n" ); document.write( "\"+x+=+%28-%28-25%29+%2B-+sqrt%28+%28-25%29%5E2+-+4%2A1%2A50+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28+25+%2B-+sqrt%28+625+-+200+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+25+%2B-+sqrt%28+425+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+25+%2B-+20.6155%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+25+-+20.6155+%29+%2F+2+\"
\n" ); document.write( "\"+x+=+4.3845%2F2+\"
\n" ); document.write( "\"+x+=+2.11922+\"
\n" ); document.write( "Rounded off, the walkway is 2.12 ft wide
\n" ); document.write( "check:
\n" ); document.write( "\"+%28+30+-+2x+%29%2A%28+20+-+2x+%29+=+400+\"
\n" ); document.write( "\"+%28+30+-+2%2A2.1192+%29%2A%28+20+-+2%2A2.1192+%29+=+400+\"
\n" ); document.write( "\"+%28+30+-+4.2384+%29%2A%28+20+-+4.2384+%29+=+400+\"
\n" ); document.write( "\"+25.7616%2A15.7616+=+400+\"
\n" ); document.write( "\"+406.044+=+400+\"
\n" ); document.write( "This is a pretty big error, so check my math,
\n" ); document.write( "but I think my method is OK\r
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