Find the area of an equilateral triangle whose perimeter is the same as that of a square whose area is 81 sq. cm

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Find the area of an equilateral triangle whose perimeter is the same as that of a square whose area is 81 sq. cm

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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can you find the perimeter of the square ?
\[\sqrt{3}a^2/4\]
Use this formula to find the area of equal triangle

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Other answers:

a = Side
If the area of the square is 81, then a side of the square is 9. The perimeter of the square is 4*9 = 36. The equilateral triangle would have side length of 12. |dw:1347692722838:dw| The area of the equilateral triangle is 1/2 b times height. The height is found by using the 30-60-90 theorem. You can also use the specialty theorem for the area of an equilateral triangle. That is the square of a side times the square root of 3 all divided by 4.
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