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 xaxis, take the point L at a = 5.
Draw LE ⊥ xaxis, meeting the graph at E.
Clearly, EL = 20 units.
Therefore, a = 5 ⇒ P = 20.
Thus, when a = 5, then P = 20.
(b) On the xaxis, take the point M at a = 6.
Draw MF ⊥ xaxis, 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 Coordinate 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
From Graph of Perimeter vs. Length of the 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.
Apr 17, 24 01:53 PM
Apr 17, 24 01:32 PM
Apr 16, 24 02:00 AM
Apr 16, 24 01:15 AM
Apr 15, 24 11:30 PM