1. **Stating the problem:**
Calculate the area of the shape described in Question 11 with dimensions 8 mm, 2 mm, and 17 mm.
2. **Understanding the shape:**
The shape has a curved top middle section with horizontal length 17 mm, height 8 mm, and curve width 2 mm.
3. **Formula and approach:**
We can consider the shape as a rectangle minus a semicircular cut or addition depending on the description.
4. **Calculate the rectangle area:**
$$\text{Area}_{rectangle} = \text{length} \times \text{height} = 17 \times 8 = 136 \text{ mm}^2$$
5. **Calculate the semicircle area:**
Radius $r = \frac{2}{2} = 1$ mm
$$\text{Area}_{semicircle} = \frac{1}{2} \pi r^2 = \frac{1}{2} \pi (1)^2 = \frac{\pi}{2} \approx 1.5708 \text{ mm}^2$$
6. **Final area calculation:**
Assuming the semicircle is a cut-out,
$$\text{Area}_{shape} = 136 - 1.5708 = 134.4292 \text{ mm}^2$$
7. **Answer:**
The area of the shape is approximately $134.43$ mm$^2$.
Area Shape 6B6Ec6
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.