Answer:
![\Large \boxed{\mathrm{78 \ units^2 }}](https://img.qammunity.org/2021/formulas/mathematics/high-school/howecv7laof0mmpkplskfuuynh614yor46.png)
Explanation:
The area of the trapezoid can be found by adding the area of the triangle and the area of the rectangle.
Area of rectangle = base × height = 2 × 12 = 24 units²
Area of triangle = base × height × 1/2
The base is missing for the triangle. Apply Pythagorean theorem to solve for the base.
12² + b² = 15²
b = 9
9 × 12 × 1/2 = 54 units²
Adding the areas.
54 units² + 24 units² = 78 units²