Question

Two regular hexagons of perimeter 30 cm each are joined as shownn in the given figure. Find the perimeter of the new figure.

[2 marks]

Answer 1

Given, perimeter of each 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

[1 mark]

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

[1 mark]