Betty has a garden with an irregular shape that has an area of 40m^2 she knows that the measurement of one side of the garden is 5m. her friend has a garden that is exactly the same shape but the measurement of the corresponding side is 6m. Betty wants to know the area of her friend's garden. What is the are of her friend's garden? (The irregular shape is a pentagon)
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40 m^2 x (6/ 5)^2 = (57 + 3/ 5) m^2 or 57.6 m^2
Pentagon is a regular shape. An irregular shape is by which no length can be taken to calculate wanted dimensions without knowing dimensions of same shape in proportion.
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I think what is tested here is simply "similar polygons". These polygons do not need to have a regular shape. We just have to ensure that we are "measuring the corresponding side".