Question

In the figure, ABCD is a square of side 14 cm.
Semicircles are drawn with each side of square
as diameter. Find the area of the shaded region.
D
с​

Answer 1

Answer:

Refer to the above attachment.

Hope it Helps ^_^

Answer 2

Answer:

let us find the area of square

given

side of square ABCD=14cm

area of square ABCD =(side)^2

(14)^2 = 96cm

let us mark the shaded region

as. | , || , ||| and |√

diameter of semicircle = side of square=14cm

radius of semicircle = side /2

14/2=7

area of semicircle AD 1/2×area of circle

1/2×πr^2

1/2×22/7 ×(7)^2

= 11×7=77cm^2

area of all semicircle =77cm^2

area of region |+area of region |||

area of square ABCD

- ( area of semicircle AD + area of semicircle BC)

area of region || + area of region |√

area of square ABCD

- ( area of semicircle AB + area of semicircle CD

so, area of region (|+||+|||+|√)

= 2(area of square ABCD ) - ( area of semicircle AD+BC+AB+CD

puting the values

2(196)-(77+77+77+77)

200-4×77

392-308

= 84cm^2