Answer :

Required shaded area = area of rectangle - area of semicircle as diameter BC

Now,

Area of rectangle = length × breadth = AB × BC

Diameter of semicircle, BC = 14 cm

⇒ Radius of semicircle,

And area of semicircle of radius 'r' =

Therefore,

Required area

= 294 - 11(7)

= 294 - 77

= 217 cm^{2}Now, let us calculate the Perimeter of the shaded region,

We know that perimeter of a semi-circle = πr, where r is the radius of the circle.

Therefore, perimeter of semi-circle = 22/7 × 7 = 22 cm

And from the figure we can see that,

Perimeter of the figure = 2.Length of the rectangle + Breadth of the rectangle + Perimeter of the semi-circle

Perimeter of the figure = 2 × 21 + 14 + 22 = 42 + 36 = 78 cm

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