Question

find the area of shaded region​

Answer 1

identification of shapes of figure

4 semi circle of radius r

square ABCD of side 14 cm

square JKLM of side 2r

from figure

AB =3+3+r+2r+r

14=6+4r

4r=14-6

r =8/2

r= 4

from figure we have ABCD square with AB = 14

4 equal semicircle with diameter JK = 4 cm

JKLM square with side = 4 cm

area of square ABCD =(AB)^2

14^2 = 196 cm^2

area of semicircle with diameter JK

πr^2/2

π×2^2/2

π×2 cm^2

area of4 semicircle =4×2×π=8π cm^2

area of JKLM square = JK^2

(4)^2=16

area of shaded region =area of square ABCD - area of 4 semicircle + area of square JKLM

196-(8π+16)=196-8π-16

180 - 8π cm^2