Maths-
General
Easy
Question
Find the length of each side of the given regular dodecagon.
![](data:image/png;base64,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)
The correct answer is: - 16
Solution:
Hint:
- A regular dodecagon has 12 sides equal in length and all the angles have equal measures, all the 12 vertices are equidistant from the center of dodecagon.
- A regular dodecagon is a symmetrical polygon.
Explanation:
- We have been given in the question figure of a regular dodecagon
- We have also been given the two sides of it that is -
- We have to find length of each side of the regular dodecagon.
We have given a regular dodecagon with sides represented as ![x squared plus 2 x minus 1 semicolon x squared plus 9 x plus 15](data:image/png;base64,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)
Since, It is regular, then all sides are equal
So,
![x squared plus 2 x minus 1 equals x squared plus 9 x plus 15](data:image/png;base64,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)
2x - 1 = 9x + 15
7x = - 16
X can not be negative
Wrong data
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