A question along with a set of statements is given. Find which of the given statements is/are sufficient to answer the question.
Question: Find the perimeter of a triangle given that:
Statements:
I. Area of the triangle is $24\text{sq. units}$.
II. Height of the triangle is $4\text{units}$.

Let's analyze if the given statements can help find the perimeter of a triangle.
The perimeter of a triangle is the sum of all its three sides ($a+b+c$).

* From Statement I and II together:
Using the area formula: $\text{Area}=\frac{1}{2}\times \text{base}\times \text{height}$

$$24=\frac{1}{2}\times \text{base}\times 4$$

$$24=2\times \text{base}⟹\text{base}=12\text{units}$$

This gives the length of one side (the base) of the triangle as $12\text{units}$.

However, we do not have any information about the nature of the triangle (whether it is right-angled, isosceles, equilateral, etc.) or the lengths/angles of the other two sides. Without the other two sides, the perimeter cannot be unique or calculated.

Therefore, even by combining both Statement I and Statement II together, the information is not sufficient to answer the question.