For squares, is a

Let us consider a square of side ‘s’ and its area ‘a’

Let s = 1cm

Area = (side)²

∴ a = 1 × 1 = 1cm²

Now, let us change the side and see how it affects the area:

Let s = 2 cm, now a = (2)² = 4 cm²

Let s = 2.25 cm, now a = (2.25)² = 5.0625 cm²

Let s = 3 cm, now a = (3)² = 9 cm²

Let s = 0.4 cm, now a = (0.4)² = 0.16 cm²

Now we will write the above result in a tabular form, and calculate a/s ratio in each case:

From the table, we can see that a/s ratio is not a constant. We will not get ‘a’ by multiplying ‘s’ by a fixed number. So, a is not proportional to s.