CTET 2 Math and Science 23 Dec 2021 Paper

The perimeter of the square $=4\times$ Side


The area of square $=$ Side $\times$ Side
$\Rightarrow$ The area of the square $=30∕4\times 30∕4$
The perimeter of the equilateral triangle $=3\times$ Side $\Rightarrow 30=3\times$ side
$\Rightarrow 10\mathrm{cm}=$ side
$\Rightarrow$ The area of the equilateral triangle
$\Rightarrow$ The area of the equilateral triangle $=\frac{\sqrt{}3}{4}\times {\left(10\right)}^2$
The area of the square : The area of the equilateral triangle
$\frac{900}{16}:\frac{100\sqrt{3}}{4}$
$\Rightarrow 9:4\sqrt{3}$
$\therefore$ The ratio of the area of the square to that of the triangle is $9:4\sqrt{}3$
The correct option is 2 i.e. $9:4\sqrt{3}$