the length and breadth of rectangle is 3:1.A 1m wide path runs through the inside of the park has an area of 39 sq.m. Find length and breadth of the park

Runs thru? Do you mean at the inside boundry?

If so, areapath= 2*L*1+2W*1-fourcorners=39

2L+2W-4*1*1=39
but L=3W
6W+2W=43
W=43/8 m

L= three times that all assuming the part is just inside the boundry.