We are given that the side length of the regular hexagon is $X$ cm.
To find the area of the shaded region, we need to determine the value of $X$.
The shaded region is made up of 4 equilateral triangles.
The area of an equilateral triangle can be found using the formula:
Area = $\frac{\sqrt{3}}{4} \times$ (side length)$^2$
In this case, each side length of the equilateral triangle is equal to $X$ cm.
So, the area of each equilateral triangle is:
$\frac{\sqrt{3}}{4} \times X^2$
Since there are 4 equilateral triangles in the shaded region, the total area of the shaded region is:
$4 \times \frac{\sqrt{3}}{4} \times X^2$
Simplifying, we have:
$\sqrt{3} \times X^2$
Given that the area of the shaded region is $100\sqrt{3}$ cm$^2$, we can write:
$\sqrt{3} \times X^2 = 100\sqrt{3}$
Now, we can solve for $X$.
Dividing both sides of the equation by $\sqrt{3}$ to eliminate it, we get:
$X^2 = 100$
Taking the square root of both sides of the equation, we find:
$X = 10$
The value of $X$ is 10.
The answer is: 10
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
The side length of the regular hexagon is X cm. What is the number of square centimeters in the area of the shaded region? Express your answer in simplest radical form.

[asy]
size(100);

pair A,B,C,D,E,F;
A = dir(0); B = dir(60); C = dir(120); D = dir(180); E = dir(240); F = dir(300);

fill(B--C--E--F--cycle,heavycyan);

draw(A--B--C--D--E--F--A);
[/asy]
If we know the answer to the above question is 100\sqrt{3}, what is the value of unknown variable X?

### Answer:
