Short Answer 
To find the total area of a triangle and trapezoid, first calculate the area of the triangle using the formula Area = 1/2 * base * height, resulting in 800. Then, calculate the area of the trapezoid (given as 1,200) and sum both areas to find the total area, which equals 2,000.
Step 1: Calculate the Area of the Triangle
To begin solving the problem, you first need to find the area of the triangular shape. The formula for the area of a triangle is Area = 1/2 * base * height. In this case, the triangular area is determined as follows:
- Base = 20
- Height = 40
- Area = 1/2 * 20 * 40 = 800
Step 2: Calculate the Area of the Trapezoid
Next, identify the trapezoidal shape and calculate its area using the trapezoid area formula: Area = (Base1 + Base2) * height / 2. Assuming you have the necessary dimensions, the area of the trapezoid is found as follows:
- Base1 and Base2 measurements based on your values
- Height measurement according to the trapezoid
- Area = 1,200 (as given or calculated)
Step 3: Combine the Areas of Both Figures
Once you have both areas calculated, the final step is to sum the areas of the triangle and trapezoid to arrive at the total area. This step is straightforward:
- Add the area of the triangle (800) to the area of the trapezoid (1,200)
- Total Area = 800 + 1,200 = 2,000
- Thus, you conclude that the total area is 2,000.