Solution:
1. Given:
- Rectangle dimensions: 12 inches by 8 inches.
2. Calculate the area of the rectangle:
- Area of rectangle: \text{Length} \times \text{Width} = 12 \text{ inches} \times 8 \text{ inches} = 96 \text{ square inches}
3. Since the rectangle is divided into two congruent triangles, each triangle has half the area of the rectangle.
4. Calculate the area of each triangle:
- Area of each triangle: \frac{96}{2} = 48 \text{ square inches}