It is given in the question that,

Base of the triangle = 16 cm

Area of the triangle = 48 cm²

Let the height of the triangle be h

We know that,

Area of the triangle =

48 =

48 = 8 × h

h =

h = 6 cm

Now, half of the base = = 8 cm

∴ By using Pythagoras theorem, we have

Side² = 8² + 6²

= 64 + 36

= 100

= 10 cm

Now, perimeter of the triangle = Sum of all sides

= 10 + 10 + 16

= 36 cm

Hence, option (b) is correct