I'll extract the mathematical content from the image and solve the problem. Let me analyze it. PIL import Image import pytesseract

Load the image to extract text and math content

image_path = "/mnt/data/1734626835657jdwf27v6.jpg" image = Image.open(image_path)

Extract the text from the image

extracted_text = pytesseract.image_to_string(image) extracted_textThe text couldn't be extracted from the image, possibly due to quality or formatting issues. However, based on the visible content:

Problem Recap:

• A parallelogram and a triangle are given.
• Both have the same area.
• Dimensions:
  • Parallelogram: Base $b$, height $h = 2 \, \text{cm}$.
  • Triangle: Base $4 \, \text{cm}$, height $6 \, \text{cm}$.

The goal is to find the missing base of the parallelogram.

Let me solve this mathematically. Known dimensions triangle_base = 4 # cm triangle_height = 6 # cm parallelogram_height = 2 # cm

Calculate the area of the triangle (1/2 * base * height)

triangle_area = 0.5 * triangle_base * triangle_height

Since the parallelogram has the same area, calculate its base (area = base * height)

parallelogram_base = triangle_area / parallelogram_height

triangle_area, parallelogram_baseThe area of the triangle is $12 \, \text{cm}^2$, and since the parallelogram has the same area:

The missing base of the parallelogram is 6 cm.

Would you like further clarification on the calculations?

Here are some related questions you might find helpful:

1. How is the formula for the area of a triangle derived?
2. Why does the parallelogram's area depend on the base and height?
3. What happens if the parallelogram's height changes?
4. How does this concept apply to real-world problems?
5. Can we generalize this for any polygon with equal areas?

Tip: For geometric problems, drawing or visualizing the shape helps clarify relationships between dimensions.