SOLUTION: The length of a rectangle is 11 centimeters less than three times its width. Its area is 42 square centimeters. Find the dimensions of the rectangle.
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: The length of a rectangle is 11 centimeters less than three times its width. Its area is 42 square centimeters. Find the dimensions of the rectangle.
Log On
Question 900321: The length of a rectangle is 11 centimeters less than three times its width. Its area is 42 square centimeters. Find the dimensions of the rectangle. Answer by JulietG(1812) (Show Source):
You can put this solution on YOUR website! L = 3W-11
L * W = A
You can do this algebraically by substituting the value of L from the top equation into the bottom, but there's an easier way.
One of the factor sets of 42 is 7/6. You can tell right away that those are the correct numbers just by looking at the problem.
Prove it:
7 = 3(6) - 11
7 = 18-11
7 = 7