Question

An equilateral triangle has the same perimeter as a square. The side length of the square is 24 inches. What is the side length of the triangle?

Answer 1

Let S be the side perimeter of the square and P be the side perimeter of the triangle

Let L be the side length of the square and l be the side length of the triangle

Perimeter of an equlateral triangle = 3l

Perimeter of a square = 4L

From the question

S = p

Substitute S = 4L and P = 3l in the above

4L = 3l

but L = 24, substitute

4 (24) = 3l

96 = 3l

Divide both-side of the equation by 3

32 = l

The side length of the triangle is 32 inches