The perimeter of the square =4× Side ⇒30=4× Side ⇒30∕4cm= Side The area of square = Side × Side ⇒ The area of the square =30∕4×30∕4 The perimeter of the equilateral triangle =3× Side ⇒30=3× side ⇒10cm= side ⇒ The area of the equilateral triangle =
√3
4
×( Side )2 ⇒ The area of the equilateral triangle =
√3
4
×(10)2 The area of the square : The area of the equilateral triangle
900
16
:
100√3
4
⇒9:4√3 ∴ The ratio of the area of the square to that of the triangle is 9:4√3 The correct option is 2 i.e. 9:4√3