Solve for X: Parallelogram with Perimeter 30 and Side Length 8

The problem involves finding the value of $X$ in a parallelogram with sides given and a specified perimeter. We will use the formula for the perimeter of a parallelogram.

The formula for the perimeter $P$ of a parallelogram is:

Given that:

• One side $AB = a = 8$.
• The other side $AC = b = X + 2$.
• The perimeter $P = 30$.

Substitute the given values into the perimeter formula:

Simplify the expression inside the parentheses:

Now the equation becomes:

Divide both sides by 2:

Subtract 10 from both sides to solve for $X$:

Thus:

The value of $X$ is therefore $\textbf{5}$.