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Mathematics

The adjoining figure shows a rectangle and a semicircle. The perimeter of the shaded region is

  1. 70 cm

  2. 56 cm

  3. 78 cm

  4. 46 cm

The figure shows a rectangle and a semicircle. The perimeter of the shaded region is? Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Mensuration

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Answer

From figure,

Let length = 14 cm and breadth = 10 cm.

Diameter of semi-circle = 14 cm and radius = 7 cm.

Perimeter of shaded region = length + breadth + breadth + πr.

= 14 + 10 + 10 + 227×7\dfrac{22}{7} \times 7

= 34 + 22 = 56 cm.

Hence, Option 2 is the correct option.

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