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The Garden Fence Challenge

Find the shape of rectangular garden that gives the most room when you have a fixed amount of fence.

Grade 5Math ChallengeMath OlympiadMathEngineeringGeometryMeasurementLogicIntermediate40 to 65 min5 materials

What you'll learn

  • Calculate perimeter and area of rectangles
  • Organize results in a table
  • Describe the pattern and explain which shape is best

Objective

Explore rectangles with the same perimeter and find which has the biggest area.

STEM concepts

OptimizationPerimeter and areaPatternsDesign under constraints
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Materials and safety
Step-by-step instructions
Prediction, test sheet and results
Why does it work, challenge and project report

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