Question

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

Answer 1

ANSWER

$30$

EXPLANATION

The perimeter of the bigger hexagon is 42yd

Hexagon has 6yd

Hence the length of each sides is;

$\begin{gathered} \frac{42}{6} \\ =7yd \end{gathered}$

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;

$5\times6=30$