Answer:
[tex] 266.14 \: {cm}^{2} [/tex]
Step-by-step explanation:
In case of rectangle:
Length l = 30 cm
Width w = 14 cm
Since, circle touches the edges (lengths) of the rectangle.
Therefore,
Diameter of circle = 14 cm
So, radius r = 14/2 = 7 cm
Area of the shaded region = Area of rectangle - Area of circle
[tex] = lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2} [/tex]
