Answer:
9
Step-by-step explanation:
Set it up as the following -
3:8 = x:24.
Now cross multiply - 3 * 24 = 8x
72 = 8x
Now divide both sides by 8.
9 = x
The product of the greatest common divisor and the least common multiple of two numbers is always the product of the two numbers. So, you have

The shaded region is a parallelogram.
The formula for the area of any parallelogram is

.
The base of the parallelogram is 2 meters long (given).
The height of the parallelogram is 9 meters (do not be fooled by the unnecessary information of 14 meters)
The height is 9 meters because the height has to be perpendicular to the base. Thus, the side length must be 9 meters.
Multiply them together.

The area of the parallelogram is 18 square meters.