Question

the figures below are similar. the labeled sides are corresponding what is the perimeter of the smaller hexagon?

Answer 1

`30`

Step-by-step explanation

The perimeter of the bigger hexagon is 42yd

Hexagon has 6yd

Hence the length of each sides is;

`\begin{gathered} (42)/(6) \\ =7yd \end{gathered}`

This shows that the bigger hexagon is a regular polygon in which all the sides are equal.

Hence, if the two hexagons are similar, the sides of the smaller hexagon will also be the same;

Hence, the perimeter of the smaller hexagon will be;

`5*6=30`