question_answer 1)

                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?

Side of square (in cm)	2	3	4	5	6
Perimeter (in \[c{{m}^{2}}\])	4	9	16	25	36

Is it a linear graph?

Answer:

                (i) Scale: Horizontal: 1 unit = 1 cm Vertical: 1 unit = 4 cm ? Mark side of the square (in cm) on horizontal axis. ? Mark perimeter (in cm) on vertical axis. ? Plot the points (2, 8), (3, 12), (3.5, 14) (5, 20) and (6, 24). ? Join the points. We get a linear graph.                 (ii) ? Scale: Horizontal: 2 units = 2 cm Vertical: 1 unit = 2 cm ? Mark side of the square (in cm) on horizontal axis. ? Mark area (in \[c{{m}^{2}}\]) on vertical axis. ? Plot the points (2, 4) (3, 9), (4, 16), (5, 25) and (6, 36). ? Join the points. The graph we get is not linear.