Concept explainers
To represent: The relationship between the number of shapes and the perimeter using a table, words, an equation, and a graph.
Explanation of Solution
Calculation:
Perimeter of the figure refers to sum of all of its sides.
Case 1: If number of pentagons
As each sides of the pentagon is equal to 1 unit,
Perimeter
Case 2: If number of pentagons
As each sides of the pentagon is equal to 1 unit,
Perimeter
Case 3: If number of pentagons
As each sides of the pentagon is equal to 1 unit,
Perimeter
From cases 1, 2 and 3, it can be observed that perimeter is equal to
Relationship using a Table
From cases 1, 2 and 3,
Number of pentagons | Perimeter |
1 | 5 |
2 | 9 |
3 | 13 |
n |
Relationship using words
Perimeter is equal to
So,
Perimeter of a figure is equal to one more than four times the number of pentagons joined to form a figure.
Relationship using an equation
Perimeter is equal to
Let
So,
Equation is
Relationship using graph
To draw graph of the equation
At
At
At
At
At
Plot points
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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