They are both regular polygons.
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If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.
A square's sides have equal lengths, and an equilateral triangle's sides also have equal lengths.
A square has 4 equal sides whereas an equilateral triangle has 3 equal sides
We have no problem fitting an equilateral triangle into a square. It depends on the size of the triangle and the size of the square whether one can be fit inside the other.
Perimeter of equilateral triangle: 24 units Area of equilateral triangle: 27.713 square units rounded to three decimal places