Let PQ be x, then pn=2x.
The area of the big triangle =8*6* 1/2=24 (base times half the height).
The area of the big triangle is also equal to the area of the rectangle+the area of the other three small triangles.
Rectangular area = 2x * x = 2x 2
The area of triangular disk =2x*(6-x) 1/2.
Area of triangle PBQ and triangle MNC (another triangle) = 1/2 * (8-2x) * X
That is 2x2+x * (6-x) *1/2+1/2 * (8-2x) * x = 24.
That is, 10x=24.
x=2.4
The circumference of the rectangle is 6x= 14.4.
okay