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
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