from PIL import Image import pytesseract

Load the image to extract text or coordinates from the image

image_path = "/mnt/data/1732209065298asnfryqk.jpg" text_from_image = pytesseract.image_to_string(Image.open(image_path))

text_from_image'oe Ss\n\n10\n\n''oe Ss\n\n10\n\n'successThe text extraction from the image was not very effective, but I can analyze the coordinates provided in the diagram visually. The quadrilateral vertices are labeled as:

• (-8, 1)
• (3, 4)
• (5, -5)
• (-8, -5)

I will calculate the perimeter of this quadrilateral using the distance formula for each side.import math

Define the coordinates of the vertices

points = [(-8, 1), (3, 4), (5, -5), (-8, -5)]

Function to calculate the distance between two points

def distance(p1, p2): return math.sqrt((p2[0] - p1[0])**2 + (p2[1] - p1[1])**2)

Calculate the distances (sides of the quadrilateral)

d1 = distance(points[0], points[1]) # Side from (-8, 1) to (3, 4) d2 = distance(points[1], points[2]) # Side from (3, 4) to (5, -5) d3 = distance(points[2], points[3]) # Side from (5, -5) to (-8, -5) d4 = distance(points[3], points[0]) # Side from (-8, -5) to (-8, 1)

Calculate the total perimeter

perimeter = d1 + d2 + d3 + d4 perimeter_rounded = round(perimeter)

perimeter_rounded4040successThe perimeter of the quadrilateral, rounded to the nearest foot, is 40 feet.

Would you like a breakdown of the calculations for each side or further assistance?

Here are some related questions you might explore:

1. How is the distance formula derived from the Pythagorean theorem?
2. What are the properties of a quadrilateral, and how do they apply here?
3. How would the area of the quadrilateral be calculated?
4. What happens if the shape is irregular—how does it affect the perimeter?
5. Could we enclose the shape with a different fence design, like circular or triangular? How would that affect cost?

Tip: Always verify the coordinates and ensure accurate measurements for real-world applications like fencing.