Alright, lets get started.
Two sides of the rectange are 14 and s.
So, the area of the rectange would be = [tex] length * width [/tex]
So, the area of the rectange would be = [tex] 14 s [/tex]
A triangle is cut from the rectangle.
The height of the triangle is = [tex] \frac{s}{2} [/tex]
The base of the triangle is = 14
So area of the triangle would be = [tex] \frac{1}{2} *base * height [/tex]
area of the triangle would be = [tex] \frac{1}{2} * 14*\frac{s}{2} [/tex]
area of the triangle would be = [tex] \frac{7s}{2} [/tex]
So, the area of shaded region = area of rectange - area of triangle
the area of shaded region = [tex] 14 s -\frac{7s}{2} [/tex]
As per given in question, area of shaded region is 84, hence
[tex] 14 s -\frac{7s}{2} = 84 [/tex]..........equation
So, this is the equation for s : Answer
Hope it will help :)
