To find the area of the triangle in the image, we can use the formula for the area of a triangle:

$A = \frac{1}{2} \times \text{base} \times \text{height}$

From the diagram:

• The base of the triangle is given as $24$ feet.
• The height of the triangle is $16$ feet.

Now, let's calculate the area:

$A = \frac{1}{2} \times 24 \times 16$

Let me compute that for you.The area of the triangle is $192 \, \text{ft}^2$.

Would you like further explanation on this or have any additional questions?

Here are 5 related questions you might explore:

1. How is the area formula derived for different shapes like parallelograms or trapezoids?
2. How would the area change if the height or base were doubled?
3. What other methods could be used to find the area of a triangle, like Heron's formula?
4. How do you find the area of a triangle when the height is not given?
5. How do changes in units (e.g., feet to meters) affect area calculations?

Tip: Always make sure to double-check units when calculating area to avoid mistakes, especially when the problem involves different measurement systems.