To find the length of the altitude \( x \) given these values, it's not entirely clear what geometric figure or context we are dealing with. However, I assume you might refer to a triangle or a related shape for which you want to calculate the altitude.
Example Triangle Context
If we consider a triangle where:
- The base = 14 (let's assume this is the base of the triangle)
- The area = 28 (let's assume this is the area of the triangle)
The formula for the area of a triangle is given by:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Substituting the known values into the formula:
\[ 28 = \frac{1}{2} \times 14 \times x \]
Now we can solve for \( x \):
\[ 28 = 7x \]
Dividing both sides by 7:
\[ x = \frac{28}{7} = 4 \]
Conclusion
If the context given is a triangle with the base of 14 and an area of 28, then the altitude \( x \) would be 4. If this doesn't align with your question or conditions, please provide additional context so I can assist you better!