
Concept explainers
(a)
Write and simplify a linear expression of the perimeter of the figure.
(a)

Answer to Problem 5GP
Perimeter of the figure is
Explanation of Solution
Given:
The sides of the figure are:
Concept Used:
To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same.
To subtract two or more monomials that are like terms, subtract the coefficients; keep the variables and exponents on the variables the same. on the variables the same.
Addition of Algebraic expression
In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.
Example:
1. Add: 6a + 8b, 2b - 4a
Solution:
(6a + 8b) + (2b - 4a) = 6a + 8b + 2b - 4a
Arrange the like terms together, then add. Thus, the required addition
= 6a - 4a + 8b + 2b = 2a + 10b
Calculation:
To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same.
The sides of the figure are:
Perimeter of the figure is the sum of all sides.
Perimeter:
Add the like terms and the numbers separately.
Thus, the perimeter of the figure is
(b)
Find the perimeter of the figure if x = 4
(b)

Answer to Problem 5GP
The value of the perimeter is 28.
Explanation of Solution
Given:
Perimeter of the figure is
Concept Used:
Now substitute x = 4 in the expression of Perimeter.
Perimeter of the figure is
Calculation:
Now substitute x = 4 in the expression of Perimeter.
Perimeter of the figure is
Thus, the value of the perimeter is 28
Chapter 7 Solutions
Glencoe Math Accelerated, Student Edition
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