document.write( "Question 626852: The perimeter of a rectangle is 46ft the length is 5 ft longer than its width what are the dimensions? \n" ); document.write( "
Algebra.Com's Answer #394506 by mengayzkie(3)\"\" \"About 
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The formula for Perimeter is :
\n" ); document.write( "P=2L+2W
\n" ); document.write( "Given:
\n" ); document.write( "P=46ft
\n" ); document.write( "L=5ft + W (length is 5 ft longer that its width)\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of L to the formula P=2L+2W\r
\n" ); document.write( "\n" ); document.write( "P = 2(5ft + W) + 2W
\n" ); document.write( "P = 10ft + 2W + 2W
\n" ); document.write( "P = 10ft + 4W\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of P (Perimeter from the given)\r
\n" ); document.write( "\n" ); document.write( "46ft = 10ft + 4W
\n" ); document.write( "46ft - 10ft = 4W
\n" ); document.write( "36ft = 4W\r
\n" ); document.write( "\n" ); document.write( "Divide both sides of the equation by 4\r
\n" ); document.write( "\n" ); document.write( "9 = w
\n" ); document.write( "or
\n" ); document.write( "======
\n" ); document.write( "w = 9
\n" ); document.write( "======\r
\n" ); document.write( "\n" ); document.write( "Substitute the computed value of w to the equation
\n" ); document.write( "L = 5ft + w
\n" ); document.write( "L = 5ft + 9\r
\n" ); document.write( "\n" ); document.write( "==========
\n" ); document.write( "L = 14ft
\n" ); document.write( "==========\r
\n" ); document.write( "\n" ); document.write( "Checking:
\n" ); document.write( "Substitute the computed value of L and W in the original equation of P:
\n" ); document.write( "P = 2L + 2W
\n" ); document.write( "P = 2(14ft) + 2(9ft)
\n" ); document.write( "P = 28ft + 18ft
\n" ); document.write( "from the given; P = 46ft\r
\n" ); document.write( "\n" ); document.write( "46ft = 28ft + 18ft
\n" ); document.write( "46ft = 46ft checked!
\n" ); document.write( "
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