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What is the total perimeter of the pitch and seating area in meters and what is the total area or the pitch and seating area

To solve this problem, we need to determine two things:

1. **Perimeter**: The total perimeter of the green area.
2. **Area**: The total area of the green area.

I'll analyze the dimensions provided and calculate the perimeter and area accordingly.

Let's break down the shape from the image:
- The shape seems to have rectangular and semicircular sections combined. Specifically, it consists of a rectangular base with two semicircles on the sides.

I'll start by extracting and calculating the relevant dimensions from the image.from PIL import Image

# Load the uploaded image to analyze
image_path = "/mnt/data/1723896886137yf0gvhyj.jpg"

# Open the image
image = Image.open(image_path)
image.show()I have displayed the image for analysis. Now, I'll extract the relevant dimensions and break down the shape to calculate the perimeter and area.

From the image, we have:

- The length of the rectangular part of the pitch: 25 m.
- The width of the rectangular section: 10 m.
- The diameter of the semicircles is 4 m (which gives us a radius of 2 m).
- There are also smaller rectangular sections on both sides of the central rectangle, 8 meters wide and 6 meters high.

I'll proceed to calculate the perimeter and area based on these dimensions.import math

# Given dimensions
rect_length = 25  # Length of the rectangular part in meters
rect_width = 10  # Width of the rectangular part in meters
semicircle_diameter = 4  # Diameter of the semicircle in meters
semicircle_radius = semicircle_diameter / 2  # Radius of the semicircle in meters
small_rect_width = 8  # Width of the smaller rectangular sections on each side
small_rect_height = 6  # Height of the smaller rectangular sections

# Total Perimeter Calculation
# Perimeter of the rectangular part
rect_perimeter = 2 * (rect_length + rect_width)

# Perimeter of the two semicircles
semicircle_perimeter = 2 * math.pi * semicircle_radius  # Full circle perimeter
semicircle_combined_perimeter = semicircle_perimeter  # Two halves make a full circle

# Perimeter of the smaller rectangles on each side
small_rect_perimeter = 2 * (small_rect_width + small_rect_height)

# Total perimeter
total_perimeter = rect_perimeter + semicircle_combined_perimeter + small_rect_perimeter

# Total Area Calculation
# Area of the rectangular part
rect_area = rect_length * rect_width

# Area of the semicircles
semicircle_area = math.pi * semicircle_radius**2  # Area of one full circle
semicircle_combined_area = semicircle_area / 2  # Two halves

# Area of the smaller rectangles
small_rect_area = small_rect_width * small_rect_height

# Total area
total_area = rect_area + semicircle_combined_area + small_rect_area

total_perimeter, total_areaThe calculations for the pitch and seating area are as follows:

- **Total Perimeter**: Approximately 110.57 meters
- **Total Area**: Approximately 304.28 square meters

Would you like further details or clarifications?

Here are five related questions:
1. How would the perimeter change if the semicircles were larger?
2. Can you calculate the area of only the semicircular sections?
3. How would the area change if the small rectangular sections were increased in size?
4. What is the significance of the perimeter in relation to field planning?
5. Could this shape be approximated by a simpler geometric form for easier calculations?

**Tip**: When dealing with combined shapes like semicircles and rectangles, separate them into individual areas for easier calculation.

Learn how to calculate the total perimeter and area of a combined shape consisting of rectangles and semicircles. This math problem involves dimensions of rectangular and circular sections, applying formulas for perimeter and area calculations. Detailed solution with step-by-step calculations provided.

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