document.write( "Question 825286: Glenn cuts half a rectangular lawn, 40 m by 30 m, by mowing strips of equal width around the perimeter. Brad cuts the small rectangle left. How wide a strip does Glenn cut so that they share the work equally? \n" ); document.write( "
Algebra.Com's Answer #497204 by josgarithmetic(39617)\"\" \"About 
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w = the width along perimeter which Glenn cuts.
\n" ); document.write( "The whole lawn area is 40*30 m^2.\r
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\n" ); document.write( "\n" ); document.write( "The area cut, \"4w%5E2%2B2%2840-2w%29%2B2%2830-2w%29\".\r
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\n" ); document.write( "\n" ); document.write( "That area cut is half the lawn area.
\n" ); document.write( "Solve this equation: \"4w%5E2%2B2%2840-2w%29%2B2%2830-2w%29=40%2A30%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "Continuing a bit:
\n" ); document.write( "\"2w%5E2%2B%2840-2w%2B30-2w%29=20%2A30%2F2\"
\n" ); document.write( "\"2w%5E2%2B70-4w=60\"
\n" ); document.write( "\"2w%5E2-4w%2B60=0\"
\n" ); document.write( "\"w%5E2-2w%2B30=0\" seems not factorable;
\n" ); document.write( "\"w=%282%2Bsqrt%284%2B4%2A30%29%29%2F%282%29\"
\n" ); document.write( "\"w=%282%2Bsqrt%28124%29%29%2F2\"
\n" ); document.write( "\"w=%282%2B2%2Asqrt%2830%29%29%2F2\"
\n" ); document.write( "\"highlight%28w=1%2Bsqrt%2830%29%29\"
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