Question

A square and an equilateral triangle have equal perimeters .If the area of the triangle is $16\sqrt{3}c{m}^2$ ,the side of the square is

• A. $6cm$
• B. $4\sqrt{2}$ cm
• C. $4cm$
• D. $6\sqrt{2}$ cm

Answer 1

The correct option is A $6cm$

Side of triangle=$=\sqrt{\frac{4}{\sqrt{3}}\times 16\sqrt{3}}=8cm$
$perimeter=3\times 8=24cm$
$sideofthesquare=\frac{24}{4}=6cm$