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How can one calculate the area of an irregular shape drawn on graph paper?

Mathematics

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Step-by-step solution

2 steps

To calculate the area of an irregular shape drawn on lined paper, we use an approximation method by counting squares. Since there are no vertical lines, we will assume a grid where the horizontal lines are 1 unit apart and we mentally draw vertical lines 1 unit apart to form squares.

  1. Count the number of full squares.

    We count each square that is entirely within the irregular shape.

  2. Count the number of partial squares.

    We count squares that are partially within the irregular shape. For these, we estimate their contribution to the total area. A common approach is to count squares that are more than half-filled as 1 full square and ignore those less than half-filled, or count all partial squares as 0.5 of a full square. For better

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