Pick A Shape
Some shapes are so awkward, that the only way to find their area seems to be to break the shape down into lots of smaller triangles and rectangles and work all these out separately. Until 1899, and a Mr Pick spotted an alternative approach…
the areas of the shapes below.
the first group of shapes, they all contain a single ‘interior’ dot.
the connection between the area and the number of dots on the
difference does the addition of one extra interior dot make to your
about a formula for 5 interior dots?
4 more than the very first examples you did)
your formula to calculate the area of this, extremely awkward, shape:
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