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The repeated shaded area between the circle and the square is a 1/4 circle.

Hence the shaded area = Area of the square – Area of the 1/4 circle – Area of the 1/4 circle + Area of the circle

Shaded area = Area of the square + Area of the 1/2 circle

= 10² + 1/2 × 5²π

Assume π = 3.14

Shaded area = 100 + 39.25 = 139.25 cm²

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How Perimeter?

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If you flap the corner 1/4 circle in white horizontally 180 degree

Perimeter = Perimeter of the circle + 5 x 4 = 2 x 5π + 20 = 31.4 + 20 = 51.4 cm

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