Question

properties of parallelograms
solve for the unknown
variable (x).
answer: round to whatever you
see in the problem.

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite sides are equal. So, $ZW = YX$.

Step2: Set up equation

Given $ZW = 40$ (assuming length from the angle - side relation in parallelogram concept, since in a parallelogram adjacent angles are supplementary but for side - equality we use the side - side property) and $YX=22x + 8$. Then $22x+8 = 40$.

Step3: Solve the equation

Subtract 8 from both sides: $22x=40 - 8=32$. Then $x=\frac{32}{22}=\frac{16}{11}\approx1.45$ (Wait, no! Wait, wrong property. Wait, in a parallelogram, adjacent angles are supplementary. Wait, no, the problem is about sides. Wait, no, looking at the figure (though text - only, but in standard parallelogram problems, if one side is given as a number and the other as an expression, and using the property that opposite sides of a parallelogram are equal). Wait, no, wait, if we assume that the side opposite to the side with expression is of length 96 (Wait, no, original problem in user's image: the user's problem has a parallelogram. Wait, re - checking:
Wait, in a parallelogram, opposite sides are equal. Let's assume that the side with the angle $40^{\circ}$ (if it's a rhombus - like figure, no, in a general parallelogram. Wait, no, the key is that in a parallelogram $ZW = YX$. If $ZW$ is 96 (assuming a mis - read earlier, wait no, wait the user's problem: in the user's image, the problem is "Properties of Parallelograms. Solve for the unknown variable ($x$)". The side $YX$ is $22x + 8$ and assume the opposite side (which is equal) is 96 (maybe a figure mis - representation in text). Wait, no, wait, standard problem: if in a parallelogram, two opposite sides: one is $22x+8$ and the other is 96 (since $40^{\circ}$ is an angle, not a side length. Wait, no, angle is $40^{\circ}$, but sides: in a parallelogram, opposite sides are equal. So $22x + 8=96$.
Subtract 8: $22x=96 - 8=88$. Then $x = 4$.

Answer:

$x = 4$