The triangle in the image is a right triangle. Its base is labeled as $14 \, \text{yd}$, and its height (perpendicular) is $4 \, \text{yd}$.

To find the area of a triangle, use the formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}.$

Calculation:

$\text{Area} = \frac{1}{2} \times 14 \, \text{yd} \times 4 \, \text{yd}.$ $\text{Area} = \frac{1}{2} \times 56 \, \text{yd}^2.$ $\text{Area} = 28 \, \text{yd}^2.$

Final Answer:

The area of the triangle is $28 \, \text{yd}^2$.

Would you like further clarification or details about this problem? Here are five related questions to expand your understanding:

1. How is the area formula for a triangle derived?
2. What are the other properties of right triangles, such as the Pythagorean theorem?
3. How do you calculate the perimeter of this triangle using all three sides?
4. Can you use trigonometry to find angles in this triangle?
5. What is the significance of units in area measurements?

Tip: Always double-check that the base and height are perpendicular when using the area formula for triangles.