Question

Draw a graph for the following.
(i)

Side of square(in cm)	2	3	3.5	5	6
Perimeter (in cm)	8	12	14	20	24

Is it a linear graph?
(ii)

Side of square(in cm)	2	3	4	5	6
Area (in cm2)	4	9	16	25	36

Is it a linear graph?

Answer 1

(i) Choosing a suitable scale,
For \(x-axis\), \(1\) unit = \(1\) cm and for \(y-axis\), \(1\) unit = \(4\) \(cm\)
We can represent the side of a square on \(x-axis\) and the perimeter of that square on \(y-axis\). 
A graph of the given data is drawn as follows.

It is a linear graph.

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(ii)Choosing a suitable scale,
For \(x-axis\), \(1\) unit = \(1\) cm and for \(y-axis\), \(1\) unit = \(4\) \(cm^2\)
We can represent the side of a square on the \(x-axis\) and the area of that square on \(y-axis\). 
A graph of the given data is as follows.


It is not a linear graph.