document.write( "Question 42113: The perimeter of a rectangle is 420 inches. The width is 4 inches less than the length. What is the length of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #27245 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! The formula for the perimeter is: \n" ); document.write( "Perimeter = 2(length + width) \n" ); document.write( "P = 2(l+w) \n" ); document.write( ". \n" ); document.write( "Plug in the known and unknown values: \n" ); document.write( "P = 420 \n" ); document.write( "Length = x \n" ); document.write( "Width = (length-4)=(x-4) \n" ); document.write( ". \n" ); document.write( "420 = 2[x + (x - 4)] \n" ); document.write( ". \n" ); document.write( "Simplify and solve for x: \n" ); document.write( "420 = 2(2x - 4) \n" ); document.write( "420 = 4x - 8 \n" ); document.write( "420+8 = 4x -8 + 8 \n" ); document.write( "428 = 4x \n" ); document.write( "428/4 = 4x/4 \n" ); document.write( "107=x \n" ); document.write( "Plug-in x = 107 to check. \n" ); document.write( "420 = 2(107 + (107-4)) \n" ); document.write( "420 = 2(107 + 103) \n" ); document.write( "420 = 2(210) \n" ); document.write( "420=420 \n" ); document.write( " \n" ); document.write( " |