Answer :
Given the side lengths of a pentagon:
(12 + 4x), (10 + 8x), (15 + 3x), (9 + 2x), and (14 + 3x)
A pentagon is a polygon that has 5 sides
To find the perimeter of a pentagon, sum up the lengths of all the sides.
Thus, the perimeter of the pentagon is:
P = (12 + 4x) + (10 + 8x) + (15 + 3x) + (9 + 2x) + (14 + 3x)
Let's simplify the expression.
Remove the parenthesis:
P = 12 + 4x + 10 + 8x + 15 + 3x + 9 + 2x + 14 + 3x
Combine like terms:
P = (4x + 8x + 3x + 2x + 3x) + (12 + 10 + 15 + 9 + 14)
P = 20x + 60
Therefore, the simplified expression that represents the perimeter of the pentagon is:
20x + 60
ANSWER:
20x + 60