a) The equation for the perimeter of the irregular pentagon is equal to p = 7 · x.
b) The solution of the perimeter equation of the irregular pentagon is equal to 4.
c) The lengths of the sides of the irregular hexagon are listed below:
- l₁ = l₂ = l₃ = 4 cm
- l₄ = l₅ = 8 cm
What are the lengths of the sides of a irregular pentagon?
A pentagon is irregular when at least one of the five sides have a different length. a) In this problem we must find the perimeter of this diamond-like irregular shape, which is the sum of the lengths of the five sides:
p = 2 · x + 2 · x + x + x + x
p = 4 · x + 3 · x
p = 7 · x
The equation for the perimeter of the irregular pentagon is equal to p = 7 · x.
b) If we know that p = 28 cm, then the solution of this equation is:
7 · x = 28
x = 28 / 7
x = 4
The solution of the perimeter equation of the irregular pentagon is equal to 4.
c) Now we find the lengths of each of the five sides are found by direct evaluation:
l₁ = l₂ = l₃ = x
l₁ = l₂ = l₃ = 4
l₄ = l₅ = 2 · x
l₄ = l₅ = 2 · 4
l₄ = l₅ = 8
The lengths of the sides of the irregular hexagon are listed below:
- l₁ = l₂ = l₃ = 4 cm
- l₄ = l₅ = 8 cm
To learn more on pentagons: https://brainly.com/question/17054992
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