The area of the white part in the lower left corner = the area of a big square-1/4 the area of a circle with a radius of 8.
(1) White area in the lower left corner:
8×8- 1/4×3. 14×8?
=64-50.24
= 13.76(cm? )
(2) Shadow area:
(8+6)×8÷2- 13.76
=56- 13.76
=42.24(cm? )