document.write( "Question 573229: The perimeter of a rectangular fram is 72 inches. The width is 4 more than the length what are the measurements of the width and the length? \n" ); document.write( "
Algebra.Com's Answer #368714 by mathsmiles(68)![]() ![]() You can put this solution on YOUR website! The perimeter of a rectangular frame is W + W + L + L. Or 2W + 2L.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You were given a couple important pieces of information for this problem. \n" ); document.write( "First, P = 72 so \n" ); document.write( "2W + 2L = 72 \n" ); document.write( "And you know the W = L + 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we start with the first equation, 2W + 2L = 72 and substitute for W using the 2nd equation, we get: \n" ); document.write( "2(L+4) + 2L = 72 Multiplying out the paren \n" ); document.write( "2L + 8 + 2L = 72 Combining terms: \n" ); document.write( "4L + 8 = 72 Subtracting 8 from each side of the equation: \n" ); document.write( "4L = 64 dividing each side by 4: \n" ); document.write( "L = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the width is 4 more than the length, then \n" ); document.write( "W = 16 + 4 = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Checking: \n" ); document.write( "2(16) + 2(20) = 72 \n" ); document.write( "32 + 40 = 72 \n" ); document.write( "72 = 72 Correct!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |