document.write( "Question 886231: The length of a rectangle is 2cm longer than it's width. If the perimeter of the rectangle is 44 cm, find it's area \n" ); document.write( "
Algebra.Com's Answer #535767 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Perimeter is a fence around. P = 2L + 2W \n" ); document.write( "L = W + 2 \n" ); document.write( "Take the known value of the length from the second equation and substitute it into the first. \n" ); document.write( "P = 2L + 2W \n" ); document.write( "44 = 2L + 2W \n" ); document.write( "44 = 2(W+2) + 2W \n" ); document.write( "Distribute \n" ); document.write( "44 = 2W + 4 + 2W \n" ); document.write( "44 = 4W + 4 \n" ); document.write( "Subtract 4 from each side \n" ); document.write( "40 = 4W \n" ); document.write( "Divide each side by 4 \n" ); document.write( "10 = W \n" ); document.write( ". \n" ); document.write( "If the width is 10, the length is 10+2, or 12 \n" ); document.write( "10 + 10 (two widths) + 12 + 12 (two lengths) = 44 \n" ); document.write( "Success! \n" ); document.write( " |