Question

GEOMETRY Find the perimeter of the regular polygon. A regular polygon with three sides. The two sides are labeled 5 minus 2 x, and negative 4 x plus 9. The perimeter of the polygon is____units.

Answer 1

Answer:

  19 units

Step-by-step explanation:

A regular polygon has equal-length sides. This fact can be used to solve for the value of x, and for the side length. Knowing the side length, we can find the perimeter.

__

side length

 5 -2x = 4x +9 . . . . . marked sides are the same length

  -4 = 6x . . . . . add 2x -9

  -2/3 = x . . . . . divide by 6

  5 -2(-2/3) = 5 +4/3 = 6 1/3 . . . . length of one side

perimeter

The perimeter is the sum of the side lengths, or 3 times the length of one side.

  P = 3s = 3(6 1/3)

  P = 19 . . . . units

The perimeter of the polygon is 19 units.