document.write( "Question 949541: The length of a rectangle is three times its width. If the perimeter of the rectangle is 64m, find its area \n" ); document.write( "
Algebra.Com's Answer #579717 by addingup(3677)![]() ![]() You can put this solution on YOUR website! The perimeter equals 2 times the length plus 2 times the width:\r \n" ); document.write( "\n" ); document.write( "2L + 2W = Perimeter, which in your problem is 64\r \n" ); document.write( "\n" ); document.write( "And since the length is 3 times the width, we can say that:\r \n" ); document.write( "\n" ); document.write( "L = 3W Now, using this information we re-write the first equation:\r \n" ); document.write( "\n" ); document.write( "3(2W) + 2W = 64 simplify: \n" ); document.write( "6W + 2W = 64 Add on the left: \n" ); document.write( "8W = 64 Now divide both sides by 8: \n" ); document.write( "W= 8 \n" ); document.write( "Proof: 3(2*8) + 2*8 = 64; 48 + 16 = 64 We have the correct answer. \n" ); document.write( " \n" ); document.write( " |