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Shaded Cross

Problem

Find the area of the diagram below that is shaded.



Solution

Surprisingly this can be tackled relatively easily by splitting the diagram up in the following way.


It should be clear that 20/32 = 5/8 of the diagram is shaded.

As the area of the square is 16 cm2,
Area shaded = 5/8 of 16 = 10 cm2

What about the following diagram?


Problem ID: 125 (Oct 2003)     Difficulty: 2 Star

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