Based on the image provided, we have a triangle drawn on a grid. To find the area of the triangle, we need to determine the lengths of its base and height.
1. Identify the base and height:
* The base of the triangle is the horizontal side, which lies along the bottom of the grid. We can count the number of grid units to find its length.
* The height of the triangle is the vertical distance from the base to the opposite vertex (the highest point). We can also count the grid units for the height.
2. Count the grid units:
* Base: The base spans 6 grid units.
* Height: The height is 4 grid units.
3. Apply the area formula:
The area of a triangle is given by the formula:
$$Area = \frac{1}{2} \times base \times height$$
4. Calculate the area:
Substitute the values we found:
$$Area = \frac{1}{2} \times 6 \times 4$$
$$Area = \frac{1}{2} \times 24$$
$$Area = 12$$
Answer: 12 square units