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

● Ordered pair of a Coordinate System

● Plot Ordered Pairs

● Coordinates of a Point

● All Four Quadrants

● 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

7th Grade Math Problems

8th Grade Math Practice

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