Question

Four regular hexagons are drawn to form the design as shown in the figure.
If the perimeter of the design is 144 cm, find the length of each side of the hexagon in cm.

• A. 8

Answer 1

The correct option is A 8
Given, perimeter of the figure is 144 cm.

We know that, a regular hexagon has 6 equal sides.
Let the side be $x$ units


The number of exterior sides which are forming the boundary of the figure is 18.
Hence,
$\Rightarrow 18\times x=144$
$\Rightarrow x=\frac{144}{18}$
$\therefore x=8cm$