Answer:
x = 6
Explanation:
The perimeter of the triangle is just the sum of all the side lengths of a triangle.
Since we are given side lengths of 4x, x + 3, and 3x + 1, all we have to do is just add them and set them equal to the total perimeter of the triangle which is 52.
Form the equation:
4x + (x + 3) + (3x + 1) = 52
Combine like terms:
(4x + x + 3x) + (3 + 1) = 52
8x + 4 = 52
-4 -4
8x = 48
/8 /8
x = 6
The value of x is 6.