Look at the red shape below, drawn on a centimetre square grid:
It is made of 6 centimetre squares, so its area is 6 cm2.
The perimeter is the total of the distances around all four sides.
Starting at the base and going anticlockwise around the shape, we work out that:
the perimeter is 2 + 3 + 2 + 3 = 10 cm.
Now look at the blue shape below, drawn on a centimetre square grid:
It is also made of 6 centimetre squares, so its area is also 6 cm2.
The perimeter is the total of the distances around all its sides.
Starting at the base and going anticlockwise around the shape, we work out that:
the perimeter is 2 + 1 + 1 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 1 + 1 = 14 cm.
Shapes with the same area can have different perimeters.