Question

An equilateral triangle has the same perimeter as a square whose side is 12.What is the length of each side of the triangle?​

Answer 1

Answer:

The side length of the triangle is 16

Step-by-step explanation:

The perimeter of the triangle is

P = 3t  since the sides are all equal

The perimeter of the square is

P = 4s  since the sides are all equal

We are given the perimeter of the square is 12

P = 4*12

P = 48

We are told the perimeters are equal

48 = 3t

Divide by 3

48/3 = 3t/3

16 =t

The side length of the triangle is 16

Answer 2

Answer:

Perimeter for rectangle/square is (length + width) x 2

12 + 12 = 24

24 x 2 = 48

So the perimeter is 48

divide 48 by 3 so it is split between 3 sides

48/3=16

so each side has a length of 16

Perimeter for triangle is adding up all the sides together

16 + 16 + 16 = 48 so the perimeter is the same as the square

16 is the answer

Hope this helps

Step-by-step explanation: