Answer:
[tex]34.28 \: {cm}^{2} [/tex]
Step-by-step explanation:
r = radius = diameter/2 = 4/2 = 2cm
Area of the semi-circle =
[tex] \frac{\pi {r}^{2} }{2} [/tex]
[tex] = \frac{3.14 \times {2}^{2} }{2} = 6.28 \: {cm}^{2} [/tex]
Area of the rectangle = Length × Breadth
= 7 × 4 = 28cm
Area of the composite = Area of the rectangle + Area of the semi-circle
= 28 + 6.28
=
[tex]34.28 \: {cm}^{2} [/tex]