document.write( "Question 787145: A landscaper, who just completed a rectangular flower garden measuring 6 feet by 10 feet, orders 1 cubic yard of premixed cement, all of which is to be used to create a border of uniform width around the garden. If the border is to have a depth of 3 inches, how wide will the border be? \n" ); document.write( "
Algebra.Com's Answer #478200 by ankor@dixie-net.com(22740)\"\" \"About 
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A landscaper, who just completed a rectangular flower garden measuring 6 feet by 10 feet, orders 1 cubic yard of premixed cement, all of which is to be used to create a border of uniform width around the garden.
\n" ); document.write( " If the border is to have a depth of 3 inches, how wide will the border be?
\n" ); document.write( ":
\n" ); document.write( "Find the area which can be covered with 3\" of concrete, in square feet:
\n" ); document.write( "1 cu/yd = 27 cu/ft
\n" ); document.write( "3\" = 1/4 or .25 ft
\n" ); document.write( ":
\n" ); document.write( "\"27%2F.25\" = 108 sq/ft is the border area covered by concrete
\n" ); document.write( ":
\n" ); document.write( "Let x = the width of the border, then the overall dimensions will be:
\n" ); document.write( "(2x+6) by (2x+10)
\n" ); document.write( ":
\n" ); document.write( "Overall area - garden dimension area = border area
\n" ); document.write( "(2x+6)(2x+10) - (6*10) = 108
\n" ); document.write( "FOIL
\n" ); document.write( "4x^2 + 20x + 12x + 60 - 60 = 108
\n" ); document.write( "combine as a quadratic equation
\n" ); document.write( "4x^2 + 32x - 108 = 0
\n" ); document.write( "simplify, divide by 4
\n" ); document.write( "x^2 + 8x - 27 = 0
\n" ); document.write( "You will have to use the quadratic formula to find x
\n" ); document.write( "I got a positive solution of 2.5574 ft as the width of border (about 2' 7\") \n" ); document.write( "
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