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!