To find the height of the rectangle, we can use the formula for the area of a rectangle:

$\text{Area} = \text{Base} \times \text{Height}$

You are given the area as 238 square yards and the base as 14 yards. We can substitute these values into the formula:

$238 = 14 \times \text{Height}$

Now, solve for the height:

$\text{Height} = \frac{238}{14} = 17 \text{ yards}$

So, the height of the rectangle is 17 yards.

Would you like further details or explanations?

Here are some related questions for you:

1. How would you find the area if the height was given instead of the base?
2. What is the perimeter of the rectangle if you know both the base and height?
3. How do you calculate the diagonal of a rectangle?
4. What are the properties of a square compared to a rectangle?
5. How can the area formula for a rectangle be derived from basic geometric principles?

Tip: Always double-check the units you're working with when solving problems involving area and perimeter!