document.write( "Question 101805: The length of a rectangle is two feet more than three times the width. Express as an integer the maximum width of the rectangle when the perimeter is less than twenty-eight feet. \n" ); document.write( "
Algebra.Com's Answer #74024 by Fombitz(32388)\"\" \"About 
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L – Length
\n" ); document.write( "W – Width
\n" ); document.write( "From your explanation,
\n" ); document.write( "L = 2 + 3W
\n" ); document.write( "The perimeter,P, of a rectangle is the sum of twice the width and twice the length or P=2L+2W.\r
\n" ); document.write( "\n" ); document.write( "P = 2L + 2W
\n" ); document.write( "P = 2(2+3W) + 2W Substitute from above for L.
\n" ); document.write( "P = 2(2)+ 2(3W)+ 2W Distributive Property.
\n" ); document.write( "P=4+6W+2W Simplify.
\n" ); document.write( "P=4+8W\r
\n" ); document.write( "\n" ); document.write( "From your explanation, the perimeter must be less than 28 feet or P<28 ft.\r
\n" ); document.write( "\n" ); document.write( "P<28
\n" ); document.write( "4+8W<28 Substitute.
\n" ); document.write( "4-4+8W<28-4 Additive inverse of 4 or (-4).
\n" ); document.write( "8W<24
\n" ); document.write( "8W/8<24/8 Multiplicative inverse of 8 or (1/8)
\n" ); document.write( "W<3
\n" ); document.write( "Since W is less than 3 and must be an integer, then the maximum value it can have is 2.
\n" ); document.write( "W=2 ft.
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