document.write( "Question 1126574: A landscaper, who just completed a rectangular flower garden measuring 6 ft by 10 ft, 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? (1 cubic yard = 27 cubic feet) \n" ); document.write( "
Algebra.Com's Answer #742951 by ankor@dixie-net.com(22740)\"\" \"About 
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landscaper, who just completed a rectangular flower garden measuring 6 ft by 10 ft, 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( " (1 cubic yard = 27 cubic feet)
\n" ); document.write( ":
\n" ); document.write( "3\" = .25 ft
\n" ); document.write( "find the area of the concrete border, 27/.25 = 108 sq/ft
\n" ); document.write( "find the area of the garden, 6*10 = 60 sq/ft
\n" ); document.write( "Total area of the garden and the border; 108 + 60 = 168 sq/ft
\n" ); document.write( ":
\n" ); document.write( "let x = the width of the concrete border
\n" ); document.write( "then the overall length and width (garden & border):
\n" ); document.write( "(2x+10) by (2x+6)
\n" ); document.write( ":
\n" ); document.write( "(2x+10)*(2x+6) = 168
\n" ); document.write( "FOIL
\n" ); document.write( "4x^2 + 12x + 20x + 60 = 168
\n" ); document.write( "4x^2 + 32x + 60 - 168 = 0
\n" ); document.write( "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( "use the quadratic formula; a=1; b=8; c=-27
\n" ); document.write( "the positive solution
\n" ); document.write( "x = 2.5574 ft which is about: 2 ft 6.7 inches \n" ); document.write( "
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