samatbasket A * b = 108;
a² + b² = c² = 15² = 225

b = 108 / a;
a² + 108² / a² = 225;
a² + 11664 / a² = 225
a⁴ + 11664 = 225a²;
a⁴ - 225a² + 11664 = 0;
x² - 225x + 11664 = 0
х₁ = 144  ⇒  а = 12,  b = 108 / 12 = 9;
x₂ = 81  ⇒  a = 9,  b = 108 / 9 = 12
P = 2 * (a + b) = 2 * (12 + 9) = 2 * 21 =42