https://file.aiquickdraw.com/mathbot/file/1729911561615ac9kexa2.jpg

To find the total area of the composite figure, we’ll split it into two parts and calculate the area for each, then sum them up. The figure consists of a trapezoid on the left and a triangle on the right.

### 1. Area of the Trapezoid (Section 1)

For a trapezoid, the area formula is:
\[
A_1 = \frac{1}{2} \times (b_1 + b_2) \times h
\]
where:
- \( b_1 = 20 \, \text{mm} \) (top base),
- \( b_2 = 30 \, \text{mm} \) (bottom base),
- \( h = 40 \, \text{mm} \) (height).

Substituting the values:
\[
A_1 = \frac{1}{2} \times (20 + 30) \times 40 = \frac{1}{2} \times 50 \times 40 = 1000 \, \text{mm}^2
\]

### 2. Area of the Triangle (Section 2)

For a triangle, the area formula is:
\[
A_2 = \frac{1}{2} \times b \times h
\]
where:
- \( b = 15 \, \text{mm} \) (base),
- \( h = 16 \, \text{mm} \) (height).

Substituting the values:
\[
A_2 = \frac{1}{2} \times 15 \times 16 = \frac{1}{2} \times 240 = 120 \, \text{mm}^2
\]

### 3. Total Area of the Composite Figure

Adding the two areas together:
\[
A_T = A_1 + A_2 = 1000 + 120 = 1120 \, \text{mm}^2
\]

### Answer
The total area, rounded to the nearest tenth, is \( \mathbf{1120 \, \text{mm}^2} \). However, none of the provided options match this result, suggesting a possible error in the problem or its answer choices.

Would you like further explanation, or do you have any questions?

### Related Questions
1. How do you calculate the area of a parallelogram?
2. What is the formula for finding the perimeter of a trapezoid?
3. How do you determine the height of a triangle if only the area and base are given?
4. What method would you use to calculate the area of a complex figure with multiple shapes?
5. How can you verify the calculated area of a composite shape?

### Tip
Always double-check unit consistency when calculating areas in composite figures to avoid errors.

Find the total area of the composite figure. Round all calculations to the nearest tenth.

Learn how to find the total area of a composite figure that includes a trapezoid and a triangle. This problem involves calculating areas of individual shapes and combining them. Suitable for students in Grades 6-8.

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