Atriangle has a perimeter of 48" and the dimensions of each side are given as x + 3, 4x-1, 2x -3 solve for the value of x and determine the length of each side

In general we know perimeter is equal to sum of each side of triangle.

SO we can add all three sides to find perimeter of triangle.

SO perimeter is = x+3 + 4x - 1 + 2x - 3
                          = 7x -1

As perimeter is 48.

So we can write 7x - 1 = 48

7x - 1 = 48

On adding 1 on both sides.

7x- 1+ 1 =  48 +1

7x = 49

On dividing 7 on both sides.





So length of first side is = x+3 = 7+3 = 10
Length of second side = 4x - 1 = 4*7 - 1 = 27
Length of third side = 2x - 3 = 2*7 - 3 = 11

So side of triangle = 10 . 27 , 11