Find the area of the shaded region of the figure given below.

Explanation

Area of the shaded region
`=ar(ABCDEA)+ar(FGHF)+ar(HIDCJFH)`
`=ar("semicircle" AED)`
`+ar("semicircle"FGH)-ar("semicircle"HID)`
`-ar("semicircle"FJC)`
`=[{1/2pixx21/4xx21/4}-{1/2pixx7/2xx7/2}+{1/2pixx7/2xx7/2}`
`+{1/2pixx35/4xx35/4}-{1/2pixx7/2xx7/2}]m^(2)`
`={(22/7xx441/32)+(1/2xx22/7xx35/4xx35/4)-(22/7xx49/8)}m^(2)`
`={((11xx63)/16)+((55xx35)/16)-77/4}m^(2)=(693/16+1925/16-77/4)m^(2)`
`=((693+1925-308)/16)m^(2)=1155/8m^(2)=144.38m^(2)`.
Hence the required area si `144.38m^(2)`