Area of the trapezoid:
[tex] \frac{12.8 + 4.2}{2} (4.9) = 41.65 cm^2[/tex]
Area of the rectangle:
4.2 x 3.1 = 13.02 cm^2
Area of each quarter circle:
[tex] \frac{ \pi (3.1)^{2} }{4} = 7.54 cm^2[/tex]
We have two quarter circles:
7.54 + 7.54 = 15.08
41.65 + 13.02 + 15.08 = 69.75 cm^2