Question

in the adjoining figure, ABCD is a rectangle with AB =20 cm and BC =14 cm. two semi circles are cut from each of two breadths as diameters. find the perimeter of the shaded region. take pie as 22/7

Answer 1

Answer is 126 cm2 and 84 cm

Answer 2

Answer:

84 cm

Step-by-step explanation:

Hi,

Let ABCD is the given rectangle as shown,

Let AYD and BXC be the respective semicircular arcs

of the semi circles that are clear,

In order to find the perimeter of the shaded region,

we can clearly observe that

Perimeter of shaded region =

length of AB + Perimeter of semi-circle BXC

+ length of CD + Perimeter of semi-circle AYD

Lenght of AB = Length of CD = 20 cm

Perimeter of semi-circle BXC =

Perimeter of semi-circle AYD =

= 1/2* Perimeter of circle with diameter  BC

= 22/7*7

= 22 cm

Hence, perimeter of shaded region will be

= 20 + 22 + 20 + 22 cm

= 84 cm.

Hope, it helps !