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)![]() ![]() You can put this solution on YOUR website! 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( " |