∵ hyperbola y 1= 1/x (x > 0), y2 = 4/x (x > 0), and the axis of PA⊥x is at point A, the axis of PB⊥y is at point B, and PA and PB are respectively with hyperbola y1.
The area of rectangular BCEO is xy= 1,
∫BC×BO = 1,BP×BO=4,
∴BC=BP/4,
∫ao×AD = 1,AO×AP=4,
∴AD=AP/4,
∵PA? PB=4,
∴3PB/4×3PA/4=9PA? PB/ 16 = CP×DP = 9/ 16×4 = 9/4,
∴△△△ The area of PCD is nine eighths of it.
So the answer is: 9/8.