document.write( "Question 829080: The perimeter of a rectangle is 26 inches. The length of the rectangle is 1 more than three times the width. How many inches long are the width and the length of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #499829 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Think of a perimeter as a fence. How much fencing will you need to build a \"perimeter fence\" around your land? \n" ); document.write( "You'll need 2 pieces of length and 2 pieces for the width. \n" ); document.write( "2L + 2W = 26 \n" ); document.write( "The problem tells us that L = 3W + 1 \n" ); document.write( "Let's plug in that value for L. \n" ); document.write( "2(3W + 1) + 2W = 26 \n" ); document.write( "Distribute the 2: \n" ); document.write( "6W + 2 + 2W = 26 \n" ); document.write( "Add the Ws together: \n" ); document.write( "8W + 2 = 26 \n" ); document.write( "Subtract 2 from each side: \n" ); document.write( "8W = 24 \n" ); document.write( "Divide each side by 8: \n" ); document.write( "W = 3 \n" ); document.write( ". \n" ); document.write( "Now that we know the width is 3, what is the length? \n" ); document.write( "\"1 more than 3x the width\" -- (3x3) +1, or 9+1, or 10 \n" ); document.write( "W = 3; L = 10. \n" ); document.write( "Let's check the answer. \n" ); document.write( "2 pieces of width (2*3=6) and 2 pieces for the length (2*10=20). \n" ); document.write( "6 + 20 = 26. \n" ); document.write( "It works :-) \n" ); document.write( " |