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)![]() ![]() 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( " |