Question

Mark the correct alternative in the following question:

The area of the shaded path in the following figure is



(a) 16 m² (b) 18 m² (c) 14 m² (d) 20 m²

Answer 1

$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{shaded}\mathrm{region}=\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{rectangle}+\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{isosceles}\mathrm{right}\mathrm{angled}\mathrm{triangl} \\ =\mathrm{length}\times \mathrm{breadth}+\frac{1}{2}\times \mathrm{base}\times \mathrm{height} \\ =8\times 2+\frac{1}{2}\times 2\times 2 \\ =16+2 \\ =18{\mathrm{m}}^2 \end{gathered}$$

Hence, the correct alternative is option (b).