Question

The perimeter of a square is the same as the perimeter of an equilateral triangle. If the square's perimeter is 36 cm , find the ratio of the equilateral triangle's side to the square's side in its simplified form. Note, the perimeter is the total distance around the outside, which can be found by adding together the lengths of each side.​

Answer 1

Answer:

Ratio of the equilateral triangle's side to the square's side in its simplified form = 4/3

Step-by-step explanation:

Given-

Perimeter of square = Perimeter of equilateral triangle -- (1)

Perimeter of square = 36cm

Since, all the 4 sides of a square are equal, length of each side of square

= 36/4 = 9cm

From (1), We know that Perimeter of equilateral triangle = 36cm

Since, all the 3 sides of an equilateral triangle are equal, length of each side

= 36/3 = 12cm

Ratio of the equilateral triangle's side to the square's side in its simplified form = 12/9 = 4/3