document.write( "Question 573811: The perimeter of a rectangle is 148 feet. The length if 14ft. greater than one and a half times the width. What is the length of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #368881 by mathsmiles(68)\"\" \"About 
You can put this solution on YOUR website!
The perimeter of a rectangle is 148 ft. The formula for perimeter of a rectangle is L + L + W + W = 2L + 2W = P\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So we have our first equation:
\n" ); document.write( "2L + 2W = 148\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "L is 14ft more than W x 1.5 OR
\n" ); document.write( "L = 14 + 1.5W\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "What is L?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's use substitution from the second equation for L and use that in the first equation.
\n" ); document.write( "2L + 2W = 148
\n" ); document.write( "2(14 + 1.5W) + 2W = 148
\n" ); document.write( "Multiply out the parens
\n" ); document.write( "28 + 3W + 2W = 148
\n" ); document.write( "Combine terms:
\n" ); document.write( "28 + 5W = 148
\n" ); document.write( "Subtract 28 from each side:
\n" ); document.write( "5W = 120
\n" ); document.write( "Divide both sides by 5:
\n" ); document.write( "W = 24\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now we need to find the length L
\n" ); document.write( "L = 14 + 1.5 (W)
\n" ); document.write( "L = 14 + 1.5 (24)
\n" ); document.write( "L = 14 + 36
\n" ); document.write( "L = 50\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Checking:
\n" ); document.write( "2(50) + 2(24) = 148?
\n" ); document.write( "100 + 48 = 148?
\n" ); document.write( "148 = 148 Correct!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Re-read the question so you give the answer in the form it's asked including the correct unit of measure. :-) Good luck!!
\n" ); document.write( "
\n" );