# pls solve it widout giving any link In the given figure, ABCD is a rectangle of dimensions 21 cm x 14 cm. A  semicircle is drawn with BC as diameter. Find the area and the  perimeter of the shaded region in the figure.

Dear Student,

As given : A semicircle is drawn with diameter BC   and given ABCD is a rectangle , so AD  =  BC  =  14 cm ( Opposite sides are equal in rectangle ) , Then

Radius of given semicircle  = 7 cm

Area of shaded region  =  Area of rectangle -  Area of semicircle

We know area of rectangle =  Length $×$ Breadth  and Area of semicircle = , So

Area of shaded region  = 21 $×$ 14  -

We know circumference of semicircle ( excluding diameter ) = , So

Circumference of given semicircle ( excluding diameter ) = = 22 cm

Then,

Perimeter of given shaded region = AB  + AD + CD +  Circumference of given semicircle , Substitute all values we get :

Perimeter of given shaded region = 21 + 14 + 21 + 22 = 78 cm                                     ( Ans )