document.write( "Question 763533: The length of a rectangular rug is 4 feet more than the width. The area of the rug is numerically 1 more than the perimeter. find the dimension \n" ); document.write( "

Algebra.Com's Answer #464892 by ramkikk66(644) $\"\"$ $\"About$

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Let Width be W
\n" ); document.write( "Length L = W + 4\r
\n" ); document.write( "\n" ); document.write( "Perimeter = 2(W + W + 4) = 4*W + 8
\n" ); document.write( "Area = W*(W+4) = W^2 + 4*W\r
\n" ); document.write( "\n" ); document.write( "Area = Perimeter + 1 (numerically)\r
\n" ); document.write( "\n" ); document.write( " $\"W%5E2+%2B+4%2AW+=+4%2AW+%2B+8+%2B+1\"$ \r
\n" ); document.write( "\n" ); document.write( "Cancelling out the 4*W on both sides\r
\n" ); document.write( "\n" ); document.write( " $\"W%5E2+=+9\"$ \r
\n" ); document.write( "\n" ); document.write( "W = +3 or -3\r
\n" ); document.write( "\n" ); document.write( "Taking the positive value\r
\n" ); document.write( "\n" ); document.write( "Width = $\"highlight%283%29\"$ and Length = $\"highlight%287%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( "

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