Given $\mathrm{P}, \mathrm{Q}, \mathrm{R}$ are the midpoints of $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{CA}}$ of $∆\mathrm{ABC}.$ If the area of $∆\mathrm{ABC}$ is 20, then the area of $∆\mathrm{PQR}$ is

Given P, Q, R are mid points of sides $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{CA}} \mathrm{of} {∆}^{\mathrm{le}} \mathrm{ABC}$

Given Area of ${∆}^{\mathrm{le}} \mathrm{ABC}=20$

Now Area of ${∆}^{\mathrm{le}} \mathrm{PQR} =\frac{1}{4} \left(\mathrm{Area} \mathrm{of} {∆}^{\mathrm{le}} \mathrm{ABC}\right)$

$$\begin{gathered} =\frac{1}{4}\left(20\right) \\ =5 \end{gathered}$$