Question

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

Answer 1

Given, the perimeter of hexagon = 30 cm

and number of sides in hexagon = 6

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

= $\frac{30}{6}$ cm

= 5 cm

From above calculations and figure, we have each side length = 5 cm.

Now, two hexagons are joined.
Thus, the perimeter of the resultant compound figure
= Sum of all sides
= AB + BC + CD + DE + EF + FG + GH + HI + IJ + JA
= (5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5) cm = 50 cm

So, The perimeter of the new figure is 50 cm.