Question

The ratio of the area of an equilateral triangle, in square inches, to its perimeter, in inches, is

Answer 1

If the side of the triangle is ' S ', then . . .

-- Base of the triangle = S
-- Height of the triangle = 1/2 S √3

-- Area = 1/2 (base) (height) = (S² √3) / 4

-- Perimeter = 3 S

Area / Perimeter (numerical) =  [ (S² √3) / 4 ]  /  3 S

That ugly thing becomes      S √3  /  12  .