MathNet 1992 — Part 01 Question 7

Given positive real numbers $x_1, x_2, \dots, x_n$ find the polygon $A_0A_1 \dots A_n$ with $A_0A_1 = x_1$, $A_1A_2 = x_2$, $\dots$, $A_{n-1}A_n = x_n$ which has the greatest area.