Math Problem Statement

A rectangular shaped playground ends in two semicircles. Given that the perimeter of the playground is 450 m, find its maximum area.

Solution

It seems you've uploaded an image containing a mathematical problem. I will process and analyze the text from the image. Hold on while I extract and analyze image_path = '/mnt/data/1732914544825oirtmwzj.jpg' image = Image.open(image_path)

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extracted_text = pytesseract.image_to_string(image)

extractedThe OCR process encountered some difficulties in interpreting the text from the image due to the quality or orientation of the text. To assist you better, could you clarify or re-upload a clearer version? Alternatively, you could describe the question or problem in text form.

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Math Problem Analysis

Mathematical Concepts

Geometry
Optimization
Perimeter and Area

Formulas

Perimeter of a rectangle with semicircles: P = 2l + πd
Area of rectangle with semicircles: A = lw + (π/4)d^2

Theorems

Optimization using calculus

Suitable Grade Level

Grades 11-12