Concept explainers
Find the side of a pentagon while the perimeter of pentagon and hexagon are same.
Answer to Problem 48PFA
Option D is Correct
Explanation of Solution
Given:
One figure of Pentagon and one figure of Hexagon and some answer options.
Concept Used:
Regular Pentagon is having 5 equal sides and Regular Hexagon is having 6 equal sides.
Perimeter of each figure is the sum of all equal sides.
Calculation:
Regular Pentagon is having 5 equal sides and Regular Hexagon is having 6 equal sides.
Perimeter of each figure is the sum of all equal sides.
Perimeter of Pentagon =
Perimeter of Hexagon =
According to the question both perimeter are same.
Equation:
Steps | Explanation of each step |
Perimeter of Pentagon = Perimeter of Hexagon. | |
Add 18x to both sides | |
Simplify the right side.
In the left : In the right: | |
Add 5 to both sides. | |
Simplify both sides.
Left: Right: | |
Divide both side by 2, the coefficient of x |
Length of a side of the Pentagon:
Option D is Correct.
Thus, the side of the Pentagon is
Chapter 2 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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