Primary Mathematics Challenge - 2022 - 25 | Exact Science

25

The rectangle ABCD measures 14 x 7cm. There are two identical sized circles which just touch the sides of the rectangle and the other circle. There is a diagonal BD. What is the total area of the shaded part in the diagram?

Answer

49 cm²

SOLUTIOn

Every shaded shape in this diagram has an unshaded shape of equal area.

So the total area of the shaded part in the diagram is ½ × 14 × 7 = 49 cm².

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