A wire of length 60 cm is cut into two pieces. One piece is used to form a rectangle of length 10 cm and width 8 cm. The other piece is bent into the shape of a regular hexagon. What is the length of each side of hexagon?

Given:

Total length of wire = 60 cm

Length of rectangle = 10 cm

Width of rectangle = 8 cm

Perimeter of rectangle = 2(length + width)

= 2(10 + 8) cm

= 2 × 18 cm

= 36 cm

Length of wire used for rectangle = 36 cm

Length of wire used for hexagon = 60 - 36 = 24 cm

Perimeter of regular hexagon = 6 × side

⇒ 24 = 6 × side

⇒ side = $\dfrac{24}{6}$

⇒ side = 4 cm

Hence, the length of each side of the hexagon is 4 cm.