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.

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

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

From Graph of Perimeter vs. Length of the Side of a Square to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Tangrams Math | Traditional Chinese Geometrical Puzzle | Triangles

    Apr 17, 24 01:53 PM

    Tangrams
    Tangram is a traditional Chinese geometrical puzzle with 7 pieces (1 parallelogram, 1 square and 5 triangles) that can be arranged to match any particular design. In the given figure, it consists of o…

    Read More

  2. Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

    Apr 17, 24 01:32 PM

    Duration of Time
    We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.

    Read More

  3. Worksheet on Third Grade Geometrical Shapes | Questions on Geometry

    Apr 16, 24 02:00 AM

    Worksheet on Geometrical Shapes
    Practice the math worksheet on third grade geometrical shapes. The questions will help the students to get prepared for the third grade geometry test. 1. Name the types of surfaces that you know. 2. W…

    Read More

  4. 4th Grade Mental Math on Factors and Multiples |Worksheet with Answers

    Apr 16, 24 01:15 AM

    In 4th grade mental math on factors and multiples students can practice different questions on prime numbers, properties of prime numbers, factors, properties of factors, even numbers, odd numbers, pr…

    Read More

  5. Worksheet on Factors and Multiples | Find the Missing Factors | Answer

    Apr 15, 24 11:30 PM

    Worksheet on Factors and Multiples
    Practice the questions given in the worksheet on factors and multiples. 1. Find out the even numbers. 27, 36, 48, 125, 360, 453, 518, 423, 54, 58, 917, 186, 423, 928, 358 2. Find out the odd numbers.

    Read More