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.

Solution:

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
0
1
4
9

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

RSS

  1. 3-digit Numbers on an Abacus | Learning Three Digit Numbers | Math

    Oct 08, 24 10:53 AM

    3-Digit Numbers on an Abacus
    We already know about hundreds, tens and ones. Now let us learn how to represent 3-digit numbers on an abacus. We know, an abacus is a tool or a toy for counting. An abacus which has three rods.

    Read More

  2. Names of Three Digit Numbers | Place Value |2- Digit Numbers|Worksheet

    Oct 07, 24 04:07 PM

    How to write the names of three digit numbers? (i) The name of one-digit numbers are according to the names of the digits 1 (one), 2 (two), 3 (three), 4 (four), 5 (five), 6 (six), 7 (seven)

    Read More

  3. Worksheets on Number Names | Printable Math Worksheets for Kids

    Oct 07, 24 03:29 PM

    Traceable math worksheets on number names for kids in words from one to ten will be very helpful so that kids can practice the easy way to read each numbers in words.

    Read More

  4. The Number 100 | One Hundred | The Smallest 3 Digit Number | Math

    Oct 07, 24 03:13 PM

    The Number 100
    The greatest 1-digit number is 9 The greatest 2-digit number is 99 The smallest 1-digit number is 0 The smallest 2-digit number is 10 If we add 1 to the greatest number, we get the smallest number of…

    Read More

  5. Missing Numbers Worksheet | Missing Numerals |Free Worksheets for Kids

    Oct 07, 24 12:01 PM

    Missing numbers
    Math practice on missing numbers worksheet will help the kids to know the numbers serially. Kids find difficult to memorize the numbers from 1 to 100 in the age of primary, we can understand the menta

    Read More