document.write( "Question 934195: Hi I am trying to figure out the following problem: a rectangular garden has an area of 120 sq ft (sides are 10ft and 12 feet. If you build a path around the garden so that is is equal all the way around, what would that expression look like? What is the additional area of the path? I have the equation as Area = (2x+10)(2x+12)? Where do I go from here???? \n" ); document.write( "
Algebra.Com's Answer #567312 by ankor@dixie-net.com(22740)\"\" \"About 
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Area = (2x+10)(2x+12)
\n" ); document.write( "x = width of the path, you have to decide what the total area (including the path) will be.
\n" ); document.write( "If you decide that a total area of 224 sq/ft will fit your requirement
\n" ); document.write( "(2x+10)*(2x+12) = 224
\n" ); document.write( "FOIL
\n" ); document.write( "4x^2 + 24x + 20x + 120 = 224
\n" ); document.write( "combine like terms
\n" ); document.write( "4x^2 + 44x + 120 - 224 = 0
\n" ); document.write( "4x^2 + 44x - 104 = 0
\n" ); document.write( "simplify, divide be 4
\n" ); document.write( "x^2 + 11x - 26 = 0
\n" ); document.write( "This will factor to
\n" ); document.write( "(x-2)(x+13) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "x = -13, not a reasonable solution
\n" ); document.write( "and
\n" ); document.write( "x = 2 ft is the width of the path
\n" ); document.write( ":
\n" ); document.write( "check this (4+10)*(4+12) = 224 \n" ); document.write( "
\n" );