Question

how to find area of equilateral triangle when perimeter is given

Answer 1

Area of equilateral triangle=
$\sqrt{3} \div 4 \times {a}^{2}$
a is the length of a side of the triangle.
If the perimeter is given, calculate side of the triangle. As all the sides are equal, you can calculate length of a side by dividing the perimeter by 3.
Now, you have got the value of a... Put it into the formula and get the answer...

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Answer 2

In an equilateral triangle all the sides as well as the angles are equal. Therefore if the perimeter is given , divide it into 3. Then you get the side. Now use the formula of the area of equilateral triangle and find out the area