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Select three figures out of the following five figures which when fitted into each other would form a square.

Question

Select three figures out of the following five figures which when fitted into each other would form a square.

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Solution

To determine which three figures can fit together to form a square, we need to analyze the shapes of the provided figures. However, as I cannot see the actual figures, I will guide you through the process of how to analyze them:

  1. Break Down the Problem

    • Identify the shapes of the five figures provided.
    • Assess the area of each figure to determine if they can combine to form a square.
  2. Relevant Concepts

    • Understand that for three figures to fit into a square, their total area must equal the area of the square formed when combined.
    • The area of a square is calculated using the formula A=s2A = s^2, where ss is the side length of the square.
  3. Analysis and Detail

    • Calculate the area of each figure.
    • Look for combinations of three figures whose total area matches that of a potential square: A1+A2+A3=s2 A_1 + A_2 + A_3 = s^2 where A1,A2,A3A_1, A_2, A_3 are the areas of the selected figures.
  4. Verify and Summarize

    • Ensure that the configuration of the three chosen figures can actually fit together without gaps or overlaps.
    • Confirm that the dimensions align to maintain a square shape.

Final Answer

Once you determine the relevant shapes and their respective areas, substitute them into the equation to find the appropriate three figures that can fit together to form a square.

This problem has been solved

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