Q. 1 B4.3( 6 Votes )

For squares, is a

Answer :

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.


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