A $100mm10mm$ plate is to be welded to another plate $150mm10mm$ by fillet would of size $6mm$ on three sides, select the required overlap of the plate to develop full strength of the joint. Take allowable tensile stress for plate as $200$MPa and allowable stress in weld as $100$MPa. Assume fusion faces at right angle and equal leg lengths.

Ans:$181\mathrm{.}1$mm

If your answer other than $181\mathrm{.}1$mm please leave it$.$