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.