https://file.aiquickdraw.com/mathbot/file/1725489368050ucayg0st.jpg

The image contains a composite figure, made up of a triangle and a rectangle, and we are tasked with finding the total area. Let's break it down:

### Step 1: Area of the Triangle
- The triangle has a base of 16 inches and a height of 5 inches.
- The formula for the area of a triangle is \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

\[
A_{\triangle} = \frac{1}{2} \times 16 \times 5 = 40 \, \text{in}^2
\]

### Step 2: Area of the Rectangle
- The rectangle has a length of 16 inches and a width of 9 inches.
- The formula for the area of a rectangle is \( A = \text{length} \times \text{width} \).

\[
A_{\square} = 16 \times 9 = 144 \, \text{in}^2
\]

### Step 3: Total Area of the Figure
The total area is the sum of the areas of the triangle and the rectangle:

\[
A_{\text{total}} = 40 \, \text{in}^2 + 144 \, \text{in}^2 = 184 \, \text{in}^2
\]

### Final Answer:
- Area of triangle = 40 in²
- Area of rectangle = 144 in²
- Total area = 184 in²

Would you like more details on any part of the solution?

Here are 5 related questions for further practice:
1. What is the area of a triangle with a base of 10 inches and height of 7 inches?
2. How would you calculate the area of a right-angled triangle?
3. Can you find the area of a parallelogram with base 8 inches and height 5 inches?
4. What is the total area of a figure with a semicircle on top of a rectangle?
5. How do you calculate the perimeter of this composite figure?

**Tip:** For composite shapes, always break them down into simpler geometric figures like triangles, rectangles, or circles to calculate the area easily!

Find the area of a composite figure made up of a triangle and a rectangle.

Learn how to find the total area of a composite figure made up of a triangle and a rectangle. This problem involves calculating the area of each shape using the appropriate formulas, then summing the areas. Suitable for students in Grades 5-7.

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