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IMSO 2024 Mathematics — International Short Answer Question 18

IMSO Science · IMSO 2024 Mathematics — International Short Answer

Question 18

In the diagram, the ratio of the width and the length of the rectangle is 1 : 4. The ratio of the radius of the semicircle to the radius of the biggest circle to the radius of the grey circle to the radius of the two smallest circles is 8 : 4 : 2 : 1. If the area of the rectangle is $1024\ \mathrm{cm}^2$, What is the total area, in $\mathrm{cm}^2$, of the shaded regions? (Use $\pi=3.14$.)

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