To calculate the area that needs to be painted, we first need to visualize the shape of the arrow based on the given dimensions, which are: 2 ft, 9.5 ft, 8 ft, 2 ft, and 4 ft.
Step 1: Identify the Shape
From the given dimensions, we can infer that:
- The arrow can be represented as a rectangle for the shaft and a triangle for the head of the arrow.
Step 2: Calculate the Area of the Rectangular Part (Shaft)
- The width of the rectangular shaft is given as 2 ft.
- The height of the rectangular shaft is given as 9.5 ft.
Area of the Shaft: \[ \text{Area}_{\text{shaft}} = \text{width} \times \text{height} = 2 \text{ ft} \times 9.5 \text{ ft} = 19 \text{ ft}^2 \]
Step 3: Calculate the Area of the Triangular Part (Head)
Assuming the triangle is positioned at the end of the rectangle:
- The base of the triangle is the same as the width of the arrow shaft, which is 2 ft.
- The height of the triangle is 4 ft (this can be inferred as one of the dimensions provided).
Area of the Triangle: \[ \text{Area}_{\text{triangle}} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 2 \text{ ft} \times 4 \text{ ft} = 4 \text{ ft}^2 \]
Step 4: Calculate the Total Area
Now, we add the areas of the rectangular part and the triangular part together:
\[ \text{Total Area} = \text{Area}{\text{shaft}} + \text{Area}{\text{triangle}} = 19 \text{ ft}^2 + 4 \text{ ft}^2 = 23 \text{ ft}^2 \]
Conclusion
The total area that will be painted is \( \boxed{23} \) square feet.