In the context of the shape made of a rectangle and a triangle, which expression correctly computes their total area?

To find the total area of a shape composed of a rectangle and a triangle, it’s important to calculate the area of each individual shape and then sum those areas. In this case, the rectangle has a base of 4 units and a height of 7 units, which gives it an area of (4 \times 7). The triangle has a base of 4 units and a height of 2 units. The area of the triangle is computed using the formula (\frac{1}{2} \times \text{base} \times \text{height}), resulting in (\frac{1}{2} \times 4 \times 2).

The correct expression combines these two areas: the area of the rectangle ((4 \times 7)) is added to the area of the triangle (\left(\frac{1}{2} \times 4 \times 2\right)). Thus, the total area can be accurately represented as ((4 \times 7) + \frac{1}{2} (4 \times 2)).

This approach clearly demonstrates the process of calculating the area for both shapes and then summing them to obtain the total area of the composite