# Graph of Perimeter vs. Length of the Side of a Square

Here we will learn about the graph of perimeter vs. length of the side of a square.

For a square we have, perimeter = (4 × side of the square).

1. Consider the relation between the perimeter and the side of a square, given by P = 4a

Draw a graph of the above function.

2. From the graph, find the value of P. when

(a) a = 5

(b) a = 6.

Solution:

1. The given function is P = 4a.
For different values of a, the corresponding values of P are given below.

       a 0 1 2 3 4 P = 4a 0 4 8 12 16

On a graph paper, plot the points O (0, 0), A (1, 4), B (2, 8), C (3, 12) and D (4, 16).

Join these points to get the required graph line, shown below.

2. Reading off from the graph of perimeter vs. length of the side of a square:

(a) On the x-axis, take the point L at a = 5.

Draw LE ⊥ x-axis, meeting the graph at E.

Clearly, EL = 20 units.

Therefore, a = 5 ⇒ P = 20.

Thus, when a = 5, then P = 20.

(b) On the x-axis, take the point M at a = 6.

Draw MF ⊥ x-axis, meeting the graph at F.

Clearly, MF = 24 units.

Therefore, a = 6 ⇒ P = 24.

Thus, when a = 6, then P = 24.

Related Concepts:

Coordinate Graph

Signs of Coordinates

Find the Coordinates of a Point

Coordinates of a Point in a Plane

Plot Points on Co-ordinate Graph

Graph of Linear Equation

Simultaneous Equations Graphically

Graphs of Simple Function

Graph of Area vs. Side of a Square

Graph of Simple Interest vs. Number of Years

Graph of Distance vs. Time