Calculate X in the Parallelogram: Step-by-Step to Find Height BE

To solve this problem, we'll calculate $x$ using the provided expressions for the base and height of the parallelogram.

Given the area of the parallelogram:

$A = (\text{base}) \times (\text{height})$

In our case, the base is $x + 5$, and the height is $x - 5$. Therefore, we have:

$(x + 5)(x - 5) = 56$

Recognizing this as a difference of squares, we write:

$x^2 - 25 = 56$

Add 25 to both sides to isolate $x^2$:

$x^2 = 81$

Take the square root of both sides:

$x = \pm 9$

Since both dimensions of a parallelogram must be positive in practical applications, we take $x = 9$.

Therefore, the correct solution is $x = 9$.