9514 1404 393
Answer:
397.76 cm^2
Explanation:
The area of the shaded region is the rectangle area less the area of the circle with diameter 8 cm. The area of the rectangle is
A = LW . . . . for length L and width W
The area of the circle is ...
A = π/4d^2 . . . . . for diameter d
Then the shaded area is ...
A = (28 cm)(16 cm) - (π/4)(8 cm)^2 = 448 cm^2 -50.24 cm^2
A = 397.76 cm^2