Question

Two regular hexagons of perimeter $30cm$ each are joined as shown in the given figure. The perimeter of the new figure is

(a) $65cm$

(b) $60cm$

(c) $55cm$

(d) $50cm$

Answer 1

The correct option is (d): 50~cm

Given, Perimeter of hexagon $=30cm$

and, Number of sides in hexagon $=6$

$\therefore$ Length of one side $=\frac{\text{Perimeter of hexagon}}{\text{Total number of sides}}$$=\frac{30}{6}=5cm$

Now, two hexagons are joined then perimeter $=$ Sum of all sides $=AB+BC+CD+DE+EF+FG+GH+HI+IJ+JA=5+5+5+5+5+5+5+5+5+5=50cm$