Here's another way to solve it. Since you know the area is 56, and that the area is l x w, you can easily come up with a list of all the possible combinations that involve at least one side being a whole number.
56 x 1
28 x 2
18.66 x 3
14 x 4
11.2 x 5
9.33 x 6
7 x 8
The next would be 8 x 7, so you may as well stop.
Now see if any of these fit the formula of one number being equal to 2(the number) + 6.
56 x 1 -- 2 x 1 = 2, which is far more than 6 away from 56.
The same can be said of 28 x 2.
18.66 x 3 is closer. However, 3 x 2 = 6, and 18.66 is more than 6 away from that.
14 x 4 is perfect!! 4 x 2 = 8, and 8 + 6 = 14.
Just to be safe, check the next to see if it's less than 6 away -- yes! 5 x 2 = 10, which is less than 6 away from 11.2.
So, you can safely say that W = 4 and L = 14.
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