Question

How do I solve this? What geometry property do I use to solve this polygon and what steps do I need to take to solve it?

Answer 1

x = 50 , side length = 2640

Explanation:

the sides of a regular polygon are equal, then

x² + 2x + 40 = x² - x + 190 ( subtract x² from both sides )

2x + 40 = - x + 190 ( add x to both sides )

3x + 40 = 190 ( subtract 40 from both sides )

3x = 150 ( divide both sides by 3 )

x = 50

substitute x = 50 into either of the 2 given expressions for side length

x² + 2x + 40 = 50² + 2(50) + 40 = 2500 + 100 + 40 = 2640