The following table gives the information regarding length of a side of a square and its area:

Length of a side (in cm): 1 2 3 4 5

Area of square (in cm²): 1 4 9 16 25

Draw a graph to illustrate this information.

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Solution

Here, length of a side is an independent variable and area of square is a dependent variable. So, we take length of a side on the x-axis and area of square on the y-axis.
Let us choose the following scale:
On x-axis: 2 cm = 1 cm
On y-axis: 1 cm = 2 cm²
Now we plot (1,1), (2,4), (3,9), (4,16), (5,25). These points are joined to get the graph representing the given information as shown in the figure below.

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The following table gives the information regarind length of a side of a square and its area :
$\begin{matrix} Length of a side (in cm) : & 1 & 2 & 3 & 4 & 5 Area of square (in cm) : & 1 & 4 & 9 & 16 & 25 \end{matrix}$
Draw a graph to illustrate this information.

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?

Q. Study the table given below and draw a line graph for it.

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

Is the graph drawn, a linear graph?

Q. Question 2(ii)
Draw a graph for the following

\begin{matrix} S i d e o f s q u a r e (i n c m) & 2 & 3 & 4 & 5 & 6 A r e a (i n c m^{2}) & 4 & 9 & 16 & 25 & 36 \end{matrix}

Is it a linear graph?

Q. The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work:

Number of persons:	2	4	6	8
Time taken (in days):	12	6	4	3

Plot a graph of this information.

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Length of a side (in cm):	1	2	3	4	5
Area of square (in cm²):	1	4	9	16	25

The following table gives the information regarding length of a side of a square and its area: Length of a side (in cm): 1 2 3 4 5 Area of square (in cm2): 1 4 9 16 25 Draw a graph to illustrate this information.

The following table gives the information regarding length of a side of a square and its area:

Length of a side (in cm): 1 2 3 4 5

Area of square (in cm²): 1 4 9 16 25

Draw a graph to illustrate this information.