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Graph of Perimeter vs. Length of the Side of a Square
Here we will learn about the graph of perimeter vs. length of the side of a square.
For a square we have, perimeter = (4 × side of
the square).
1. Consider the relation between the perimeter
and the side of a square, given by P = 4a.
Draw a graph of the above function.
2. From the graph, find the value of P. when
(a) a = 5
(b) a = 6.
Solution:
1. The given function is P = 4a.
For different values of a, the corresponding
values of P are given below.
| a | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| |
On a graph paper,
plot the points O (0, 0), A (1, 4), B (2, 8), C (3, 12) and D (4, 16).
Join these points to get the required graph
line, shown below.
2. Reading off from the graph of perimeter vs. length of the side of a square:
(a) On the x-axis, take the point L at a = 5.
Draw LE ⊥ x-axis, meeting the graph at E.
Clearly, EL = 20 units.
Therefore, a = 5 ⇒ P = 20.
Thus, when a = 5, then P = 20.
(b) On the x-axis, take the point M at a = 6.
Draw MF ⊥ x-axis, meeting the graph at F.
Clearly, MF = 24 units.
Therefore, a = 6 ⇒ P = 24.
Thus, when a = 6, then P = 24.
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 Area vs. Side of a Square
● Graph of Simple Interest vs. Number of Years
7th Grade Math Problems
8th Grade Math Practice
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