Let's solve for the perimeter and area of the given figure based on its dimensions:

The figure:

• The shape consists of a rectangle in the center with two semicircles on either end.
• The length of the rectangle is $100 \, \text{m}$, and the width is $60 \, \text{m}$.
• The diameter of each semicircle is equal to the width of the rectangle, $60 \, \text{m}$.

1. Perimeter of the irregular figure:

• The perimeter of the figure includes:

  1. The two semicircles (together, they form a full circle of diameter $60 \, \text{m}$).
  2. The two lengths of the rectangle ($100 \, \text{m} + 100 \, \text{m}$).

• The circumference of a full circle with diameter $d$ is: $\text{Circumference} = \pi d$ Substituting $d = 60 \, \text{m}$: $\text{Circumference of the full circle} = \pi \times 60 = 60\pi \, \text{m}.$

• Adding the two lengths of the rectangle ($100 \, \text{m}$ each): $\text{Perimeter} = 100 + 100 + 60\pi.$ Approximating $\pi \approx 3.14$: $\text{Perimeter} \approx 200 + 60(3.14) = 200 + 188.4 = 388.4 \, \text{m}.$

Final Perimeter: $\boxed{388.4 \, \text{m}}$

2. Area of the irregular figure:

• The area of the figure includes:

  1. The area of the rectangle.
  2. The area of the two semicircles (which together form a full circle).

• Area of the rectangle: $\text{Area} = \text{Length} \times \text{Width} = 100 \times 60 = 6000 \, \text{m}^2.$

• Area of the full circle: The area of a circle with diameter $d$ (or radius $r = d/2$) is: $\text{Area} = \pi r^2.$ Substituting $r = 60/2 = 30 \, \text{m}$: $\text{Area} = \pi \times (30)^2 = \pi \times 900 = 900\pi \, \text{m}^2.$ Approximating $\pi \approx 3.14$: $\text{Area of the circle} \approx 900 \times 3.14 = 2826 \, \text{m}^2.$

• Total Area: $\text{Total Area} = \text{Area of rectangle} + \text{Area of circle} = 6000 + 2826 = 8826 \, \text{m}^2.$

Final Area: $\boxed{8826 \, \text{m}^2}$

Conclusion:

• The perimeter is approximately $388.4 \, \text{m}$.
• The area is approximately $8826 \, \text{m}^2$.

Let me know if you'd like further clarification or if you'd like me to break it down further!

5 Related Questions:

1. How does the formula for the circumference of a circle change if only a portion of the circle is used (e.g., semicircles)?
2. What is the formula to calculate the area of any irregular composite shape?
3. Why do we use $\pi \approx 3.14$ and how does using more accurate approximations of $\pi$ affect calculations?
4. Can the area of this shape be verified using integration methods for curves?
5. How do we handle perimeter calculations for figures involving arcs of a circle?

One Tip:

Always break composite shapes into smaller basic shapes (rectangles, circles, triangles, etc.) when solving for perimeter or area—it makes calculations easier and more systematic!