document.write( "Question 381299: A 60 foot by 80 foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the area of the flower bed, how wide is the walk? Set up a quadratic equation, factor, and solve. \n" ); document.write( "
Algebra.Com's Answer #270539 by mananth(16946)\"\" \"About 
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width of walk = 60 feet
\n" ); document.write( "length = 80 feet
\n" ); document.write( "..
\n" ); document.write( "Area = 4800 ft^2
\n" ); document.write( "..
\n" ); document.write( "uniform width w
\n" ); document.write( "..
\n" ); document.write( "GARDEN dimensions
\n" ); document.write( "width = 60-2w
\n" ); document.write( "length = 80-2w
\n" ); document.write( "...
\n" ); document.write( "Area of garden = (60-2w)(80-2w)
\n" ); document.write( "FOIL
\n" ); document.write( "Area = 4800-120w-160w+4w^2
\n" ); document.write( "Area = 4w^2-280w+4800
\n" ); document.write( "..
\n" ); document.write( "Total area / area of garden = 2
\n" ); document.write( "4800 / 4w^2-280w+4800 = 2
\n" ); document.write( "4800/2 = 4w^2-280w+4800
\n" ); document.write( "2400 =4w^2-280w+4800
\n" ); document.write( "4w^2-280w+4800-2400=0
\n" ); document.write( "4w^2-280w+2400=0
\n" ); document.write( "/4
\n" ); document.write( "w^2-70w+600=0
\n" ); document.write( "w^2-60w-10w+600=0
\n" ); document.write( "w(w-60)-10(w-60)=0
\n" ); document.write( "(w-60)(w-10)=0
\n" ); document.write( "w= 60 OR 10
\n" ); document.write( "ignore 60
\n" ); document.write( "..
\n" ); document.write( "width = 10 feet
\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( "
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