document.write( "Question 858986: The length of a rectangle is 7 feet longer then twice the width, if the perimeter is 86 feet. Find the Length and Width of the rectangle \n" ); document.write( "
Algebra.Com's Answer #517550 by Awesom3guy(31)\"\" \"About 
You can put this solution on YOUR website!
As a rectangle is bounded by two pairs of equal sides a and b, the formula for its perimeter is:
\n" ); document.write( "\"P+=+2a+%2B+2b\".
\n" ); document.write( "Or
\n" ); document.write( "\"P+=+2L+%2B+2W\"
\n" ); document.write( "If we are talking about length and width.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The length of a rectangle is 7 feet longer then twice the width.
\n" ); document.write( "\"L+=+2W+%2B+7\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now we can plug \"2W+%2B+7\" in the place of L in the formula for perimeter and 86 for in the place of P.
\n" ); document.write( "\"86+=+2%282W+%2B+7%29+%2B+2W\"
\n" ); document.write( "Expand the bracket and collect like terms:
\n" ); document.write( "\"86+=+6W+%2B+14\"
\n" ); document.write( "\"72+=+6W\"
\n" ); document.write( "\"W+=+12\"
\n" ); document.write( "The width of the rectangle is 12 feet.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Finding length:
\n" ); document.write( "\"L+=+2W+%2B+7\"
\n" ); document.write( "\"L+=+2%2A12+%2B+7+=+31\"
\n" ); document.write( "Its length is 31 feet.\r
\n" ); document.write( "\n" ); document.write( "Now you want to check.
\n" ); document.write( "\"P+=+2L+%2B+2W\"
\n" ); document.write( "\"86+=+2%2A31+%2B+2%2A12\"
\n" ); document.write( "All good.
\n" ); document.write( "
\n" );