Question

The perimeter of a square is equal to perimeter of an equilateral triangle. If the side of such triangle is 12 cm, then the area of the square is

Answer 1

therefore perimeter of the triangle=12*3=36
hence length of one side of the square =36/4=9
so the area of the square is 9*9=81 cm^2

the ans is 81cm^2
hope this helps...

Answer 2

$\huge\mathfrak{Heya}$

$\tt{Perimeter \ of \ square \ = \ 4 × side}$

$\tt{Perimeter \ of \ equilateral \ triangle \ = \ 3×side}$

$\tt{Given \ side \ of \ triangle \ = \ 12 \ cm}$

$\tt{Perimeter \ of \ triangle \ = \ 3 × 12 \ cm}$

$\tt{A/q}$

$\tt{4 × side \ = \ 3 × 12}$

$\tt{side \ of \ square \ = \ 9 \ cm}$

$\tt{Area \ of \ square \ = \ (side)^2}$

$\tt{=> \ (9)^2 = 81 \ cm^2}$

$\tt{So, \ Area \ of \ Square \ = \ 81 \ cm^2}$

$\huge\mathbb{Hope \ this \ helps.}$