Alright, lets get started.
Two sides of the rectange are 14 and s.
So, the area of the rectange would be = 
So, the area of the rectange would be = 
A triangle is cut from the rectangle.
The height of the triangle is = 
The base of the triangle is = 14
So area of the triangle would be = 
area of the triangle would be = 
area of the triangle would be = 
So, the area of shaded region = area of rectange - area of triangle
the area of shaded region = 
As per given in question, area of shaded region is 84, hence
..........equation
So, this is the equation for s : Answer
Hope it will help :)