document.write( "Question 141301: Bob and Tom are mowing a yard which is 80' X 40'. They will each mow 1/2 of the yeard. They must mow the yeard in a spiral. How far in does Bob mow before turning it over to Tom? What equation is used to solve this? \n" ); document.write( "
Algebra.Com's Answer #102969 by checkley77(12844)\"\" \"About 
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80*40/2=(80-x)(40-x)
\n" ); document.write( "3200/2=3200-120x+x^2
\n" ); document.write( "1600=3200-120x+x^2
\n" ); document.write( "x^2-120x+3200-1600=0
\n" ); document.write( "x^2-120x+1600=0
\n" ); document.write( "using the quadratic equation:\"x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29\" we get:
\n" ); document.write( "x=(120+-sqrt[-120^2-4*1*1600])/2*1
\n" ); document.write( "x=(120+-sqrt14,400-6,400])/2
\n" ); document.write( "x=(120+-sqrt8,000)/2
\n" ); document.write( "x=(120+-89.44)/2
\n" ); document.write( "x=(120-89.44)/2
\n" ); document.write( "x=30.56/2
\n" ); document.write( "x=15.28' is the width of the mowed area that contains one half the total area.
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