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Answer :

9514 1404 393

Answer:

  397.76 cm^2

Step-by-step 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