To find the perimeter of this shape, let’s break it down into parts. The figure consists of a straight line, a diagonal line, and a half-circle.

Step-by-Step Solution

1. Identify each segment of the perimeter:

   • The shape has three straight segments and one half-circle.

2. Label each segment based on the image dimensions:

   • The straight segments include:
     • The left vertical line of 3 m.
     • The horizontal line on the bottom of 7 m.
     • The horizontal line on the top of 8 m.
   • The half-circle has a diameter of 7 m (same as the bottom horizontal line), so its radius $r$ is $\frac{7}{2} = 3.5$ m.

3. Calculate the perimeter:

   • Top line: 8 m
   • Left vertical line: 3 m
   • Bottom line: 7 m
   • Half-circle: The perimeter (circumference) of a full circle is $2 \pi r$, so for a half-circle it’s $\pi r$.
     • Using $\pi \approx 3.14$,
     • Half-circle perimeter = $3.14 \times 3.5 = 10.99$ m.

4. Add up all parts: $\text{Perimeter} = 8 + 3 + 7 + 10.99 = 28.99 \, \text{m}$

Final Answer

The perimeter of the figure is approximately 29.0 m when rounded to one decimal place.

Would you like further details or have any questions?

Related Questions:

1. How do you find the circumference of a full circle if only the radius is given?
2. How would the solution change if the shape had a full circle instead of a half-circle?
3. What is the importance of rounding in mathematical problems?
4. How does knowing the diameter help in calculating the perimeter?
5. What is the formula for the perimeter of shapes with both straight and curved edges?

Tip:

Always break complex shapes into simple parts for easier perimeter and area calculations.