Question

Make a line graph for the area of a square as per the given table. Is it a linear graph?

Side (in $\mathrm{cm}$)	$1$	$2$	$3$	$4$
Area (in ${\mathrm{cm}}^2$)	$1$	$4$	$9$	$16$

Answer 1

Graph of the area of the square.

From the table, coordinates are $\left(1,1\right),\left(2,4\right),\left(3,9\right),\left(4,16\right)$.

Hence the graph of these coordinates is shown below.

Here $x-$axis represents the side and the $y-$axis represents the area.

From the graph, we can see that it is not a linear graph.

Hence the graph of the area of the square is not linear.