CAT Exam Model Paper 8 with solutions for free online practice

Area of any polygon = $\mathit{r}\times \mathit{s}$(where r is the inradius and s is the semiperimeter)
Hence, for any n sided regular polygon with inradius r and side x units,
Area $=\frac{1}{2}\left(\mathit{n}\mathit{x}\right)\times \mathit{r}$
Since the area is given as 10x sq units
$\frac{1}{2}\times \mathit{n}\times \mathit{x}\times \mathit{r}=10\mathit{x}$
⇒$\mathit{n}\times \mathit{r}=20$
Here n must be more than or equal to 3.
So the possible values of (n, r) are (4, 5), (5, 4), (10,2), and (20,1).