The perimeter of this hexagon is 182cm. Each longer side measures 4cm more tahn twice a shorter side. Find the length of the side labeled x.

From question, we have,

x + (x + 4) + (x + 4 + 4) + (x + 4 + 4 + 4) + (x + 4 + 4 + 4 + 4) + (x + 4 + 4 + 4 + 4 + 4) + (x + 4 + 4 + 4 + 4 + 4 + 4) = 182

=> x + x + 4 + x + 8 + x + 12 + x + 16 + x + 20 + x + 24 = 182

=> 7x + 84 = 182

=> 7x = 182 - 84

=> x = 98/7

=> x = 14

hence the length of the side labelled x = 14 cm