Question

Draw a graph for the following:

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

Is it linear graph? Say yes or no.

• A. Yes
• B. No
• C. Ambiguous
• D. Data insufficient
  

Answer 1

The correct option is A Yes

Lus denote the side and perimeter of square as $x$ and $y$ respectively.

We know that, perimeter of square $=4\times sides$ ........... $\left(1\right)$

And from the data,

When $x=2$, $y=8=4\times 2$

& $x=3$, $y=12=4\times 3$ and so on..

From $\left(1\right)$ and given data, we get

$y=4x$ is the graph of the above data which is a straight line.
Hence, it will be a linear graph.