Consider two distinct geometric figures:
Figure 1 is a triangle with a base of 10 units and a height of 6 units. Calculate the area of this triangle using the formula for the area of a triangle: $$A = \frac{1}{2} \times \text{base} \times \text{height}.$$
Figure 2 is a rectangle with a length of 8 units and a width of 7 units. Calculate the area of this rectangle using the formula for the area of a rectangle: $$A = \text{length} \times \text{width}.$$
Compare the areas of the two figures.