SOLUTION: A polygon is regular if each of its sides has the same length. Find the perimeter of these regular polygons. a. Triangle with sides equaling: side 1= 5-2x side 2= -4x+9 base i

Question 1048305: A polygon is regular if each of its sides has the same length. Find the perimeter of these regular polygons.
a.
Triangle with sides equaling:
side 1= 5-2x
side 2= -4x+9
base is blank
b. 5 sided Polygon
side 1= 3(x-1)
3 other sides are blank
base= 5x-6
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
"Find the perimeter of these regular polygons" tells you that they are regular polygons, meaning that (for a and b) each of its sides has the same length
a.
Triangle with sides equaling:
side 1= 5-2x
side 2= -4x+9
Since the three sides have the same length that length is
.
So we solve for , and then find , the length of each side.

is the length of each one of the three sides of this regular triangle (an equilateral triangle).
So the perimeter is .
b.
5 sided Polygon
side 1= 3(x-1)
3 other sides are blank
base= 5x-6
Since it is a regular polygon the length is the same for all sides.
It is .
Once again, we solve for , and then use to find the length of each side.

So, the length of each side is
or .
With sides, each measuring ,
the perimeter of that 5 sided regular polygon (a regular pentagon) is

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