document.write( "Question 662778: The width of a rectangle is 1 meter shorter than its length. The perimeter of the rectangle is 26 meters. Find its dimensions. \n" ); document.write( "
Algebra.Com's Answer #412469 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Let L = length of rectangle \n" ); document.write( "Let W = width of rectangle \n" ); document.write( "The perimeter, p, is given by the formula \n" ); document.write( "(1) p = 2*L + 2*W \n" ); document.write( "You are given two facts; \n" ); document.write( "a) W = L - 1 \n" ); document.write( "b) p = 26 \n" ); document.write( "Substitute a) and b) into (1) to get \n" ); document.write( "(2) 26 = 2*L + 2*(L-1) or \n" ); document.write( "(3) 26 = 2*L + 2*L - 2 OR \n" ); document.write( "(4) 28 = 4*L OR \n" ); document.write( "(5) L = 7 \n" ); document.write( "Then from a) we get \n" ); document.write( "(6) W = 7 - 1 or \n" ); document.write( "(7) W = 6 \n" ); document.write( "Are this correct? Let's check, using (1). \n" ); document.write( "Is (26 = 2*7 + 2*6)? \n" ); document.write( "Is (26 = 14 + 12)? \n" ); document.write( "Is (26 = 26)? Yes \n" ); document.write( "Answer: The dimensions of the rectangle are 7m by 6m. \n" ); document.write( " |