Answer
Triangle 1 has the bigger perimeter.
Explanation
The perimeter of a figure is the sum of the exterior sides of the figure.
Triangle 1 has lengths of 3x, 6 and -4x + 32
Triangle 2 has lengths of 3x, 8 and 10x - 28
The perimeters now,
For triangle 1
Perimeter = 3x + 6 + (-4x + 32)
= 3x + 6 - 4x + 32
= -x + 38
where x = 2
-x + 38 = -2 + 38 = 36
For triangle 2
Perimeter = 3x + 8 + 10x - 28
= 13x - 20
where x = 2
13x - 20 = 13 (2) - 20 = 26 - 20 = 6
We can see that triangle 1 has the bigger perimeter.
Hope this Helps!!!
