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 |
|---|---|---|---|---|
| |
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.
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:
● Ordered pair of a Coordinate System
● Find the Coordinates of a Point
● Coordinates of a Point in a Plane
● Plot Points on Co-ordinate Graph
● Simultaneous Equations Graphically
● Graph of Perimeter vs. Length of the Side of a Square
● Graph of Simple Interest vs. Number of Years
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.
Recent Articles
-
Addition of 4-Digit Numbers | 4-Digit Addition |Adding 4-Digit Numbers
Jan 11, 25 03:16 AM
We will learn about the addition of 4-digit numbers (without carrying and with carrying). We know how to add 2 or 3, 3-digit numbers without carrying or with carrying. -
Worksheet on Addition of 4-Digit Numbers | 4 Digit Addition Worksheets
Jan 11, 25 02:48 AM
Practice the questions given in the worksheet on addition of 4-digit numbers. Here we will add two 4-digit numbers (without carrying and with carrying) and three 4-digit numbers -
Word Problems on 4-Digit Numbers |Addition and Subtraction of 4-Digits
Jan 10, 25 02:49 PM
We will solve here some of the word problems on addition and subtraction of 4-digit numbers. We will apply the same method while adding and subtracting the word problems. 1. In a village, there are 25… -
Addition of 10, 100 and 1000 | Adding 10 | Adding 100 | Adding 1000
Jan 10, 25 01:20 AM
Here we will learn Addition of 10, 100 and 1000 with the help of different examples. -
Estimating a Sum | Round the Number | Numbers by Rounding | Estimating
Jan 10, 25 12:10 AM
We will learn the basic knowledge for estimating a sum. Here we will learn an easy way to estimate a sum of two numbers by rounding. In case of two digit numbers we can only round the number
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.