Answer :

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]