The first thing that you want to do is set up an equation for the problem. It says that the length (L) is 2m longer than its width (W). You set up the equation as follows:
(W)(2+W) = 24
The 2+ W is because it is 2m longer than the length. Just use W for the width because you only want one variable. Multiply the left side out so that you get:
W^2 + 2W = 24
Now once you move 24 over to the other side you get:
W^2 + 2W - 24 = 0
Now you have a quadratic equation. Once you solve the quadratic equation then you will have two answers. However, you cannot have a negative length. Therefore, only one of the answers will work. Using the quadratic formula you are solving for W. Once you get your answer for W, then add 2 to it to get your length. Multiply these two answers together to get the area.
