Area Comparison of Triangle and Rectangle

Consider a triangle with vertices located at points A(0, 0), B(6, 0), and C(3, 4). Determine the area of triangle ABC and compare it to the area of a rectangle formed by points D(0, 0), E(6, 0), F(6, 4), and G(0, 4).

The area of a triangle can be calculated using the formula:

$$ ext{Area} =\frac{1}{2} imes ext{base} imes ext{height} $$

The area of a rectangle is given by:

$$ ext{Area} = ext{length} imes ext{width} $$