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

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