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