Answer:
[tex] 1,824 \: {in}^{2} [/tex]
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 48 in and 32 in + Area of triangle with base 48 in and height 12 in.
[tex] = 48 \times 32 + \frac{1}{2} \times 48 \times 12 \\ \\ = 1,536 + 24 \times 12 \\ \\ = 1,536 + 288 \\ \\ = 1,824 \: {in}^{2} [/tex]