Answer: 17 units
Step-by-step explanation: A perimeter of a rectangle can be represented by the equation:
2(L)+2(W) = P
L represents length, W represents width and P represents perimeter
Lets say DC is width so AB has to be width aswell and then AD and BC are length.
We are given width and length as equations and P as 76 so we can substitute it into our equation to get:
2(3x-1) + 2(4x-3) = 76
We are trying to solve x so distributing would make it easy to obtain and we get:
6x - 2 + 8x - 6 = 76
Simplifying and solving for x gives us:
6x - 2 + 8x - 6 = 76
14x - 8 = 76
14x = 84
x = 6
Finally, we know AD represents our Width and AD = BC since we know BC is 3x-1, we can plug x in to get BC which is equal to AD to get:
3x - 1 = BC
3(6) - 1 = BC
17 = BC
since BC = AD
17 = AD