maths request

[surinderdhiman]

Prove that the ratio of the sides of a square and an equilateral triangle having
equal perimeter is 3:4

[MartyMurray]

Prove that the ratio of the sides of a square and an equilateral triangle having
equal perimeter is 3:4

The perimeter, P, is the same in both cases.

The 4 sides of the square each have length P/4.

The 3 sides of the equilateral triangle each have length P/3.

The ratio of a the length of a square side to the length of a triangle side is (P/4)/(P/3) = 3/4.

[Brent@GMATPrepNow]

Prove that the ratio of the sides of a square and an equilateral triangle having
equal perimeter is 3:4

Do you have the original question?
As you know, GMAT math questions always have 5 answer choices. So, a question like this would never appear on the GMAT.
If you're interested, here's an article on identifying GMAT-worthy questions: https://www.gmatprepnow.com/articles/questions-questions

Cheers,
Brent