Graph of Area vs. Side of a Square

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

We know that area of a square = (side)2. Thus, A = x2.

(a) Consider the relation between the area and the side of a square, given by A = x2.
Draw a graph of the above function.

(b) From the graph, find the value of A, when x = 4.


The given function is A = x2.
For different values of x, we get the corresponding value of A.

x= 0 ⇒ A = 02 = 0
x= 1 ⇒ A = 12 = 1
x = 2 ⇒ A = 22 = 4
x = 3 ⇒ A = 32 = 9
x 0 1 2 3
A = x2

Thus, we have the points O (0, 0), B (1, 1), C (2, 4) and D (3, 9). 

Plot these points on a graph paper and join them successively to obtain the required graph given below. 

Graph of Area vs. Side of a Square

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

On the x-axis, take the point L at x = 4. 

Draw LP ⊥ x-axis, meeting the given graph at P. 

Clearly, PL = 16 units. 

Therefore, x = 4 ⇒ A = 16. 

Thus, when x = 4 units, then A = 16 sq. units

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 Perimeter vs. Length of the 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 Area vs. 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.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Decimal Place Value Chart |Tenths Place |Hundredths Place |Thousandths

    Jul 19, 24 03:26 PM

    Decimal place value chart
    Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.

    Read More

  2. Definition of Decimal Numbers | Decimal Part | Decimal Point |Examples

    Jul 19, 24 11:13 AM

    Decimal Numbers
    Definition of decimal numbers: We have learnt that the decimals are an extension of our number system. We also know that decimals can be considered as fractions whose denominators are 10, 100, 1000

    Read More

  3. Addition and Subtraction of Fractions | Solved Examples | Worksheet

    Jul 19, 24 02:00 AM

    Addition and subtraction of fractions are discussed here with examples. To add or subtract two or more fractions, proceed as under: (i) Convert the mixed fractions (if any.) or natural numbers

    Read More

  4. Fractions in Descending Order |Arranging Fractions an Descending Order

    Jul 19, 24 02:00 AM

    We will discuss here how to arrange the fractions in descending order. Solved examples for arranging in descending order: 1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order. First…

    Read More

  5. Fractions in Ascending Order | Arranging Fractions | Worksheet |Answer

    Jul 19, 24 01:59 AM

    Comparison Fractions
    We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. Arrange the following fractions 5/6, 8/9, 2/3 in ascending order. First we fi…

    Read More