SOLUTION: The lengths (in inches) of two sides of a regular pentagon are represented by the expressions 7x-29 and 6x-3. Find the length of a side of the pentagon.

Question 928745: The lengths (in inches) of two sides of a regular pentagon are represented by the expressions 7x-29 and 6x-3. Find the length of a side of the pentagon.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
With any regular polygon, the sides are equal.

So the regular pentagon has all 5 sides equal.

Set each expression equal to each other and solve for x.

7x - 29 = 6x - 3

7x - 6x = -3 + 29

x = 26

Then we use this to find the length of each side.

7x - 29 = 7*26 - 29 = 182 - 29 = 153

Each side is 153 units long

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