Substituting x=0 into y= 12x+b to get y=b, then the coordinate of point d is (0, b).
The coordinate of point ∫C is (0,8),
Although the quadrilateral ABCO is rectangular,
The ordinate of point e is 8,
Substituting y=8 into y= 12x+b gives 12x+b=8 and x= 16-2b=2(8-b).
The coordinate of point e is (2(8-2b), 8),
∴OD=b,CD=8-b,CE=2(8-b),EH=8,
∵ Rectangular paper ABCO is folded along the straight line Y = 12x+B, so that point C falls on point F on the edge of OA, and the folding seam is DE.
∴df=dc=8-b,fh=ce=2(8-b),∠dfe=∠dce=90,
∴∠DFO+∠EFH=90,
And < dfo+< ODF = 90 degrees,
∴∠ODF=∠EFH,
∴Rt△ODF∽Rt△HFE,
∴OFEH=DFEH=ODFH, which means 8=8? b2(8? b)=bFH,
∴OF=4,FH=2b,
∫OF+FH = OH = CE,
∴4+2b=2(8-b),
∴b=3.
So the answer is 3.