Weird Looking Star

Relevant wiki: Length and Area

Each side of the heptagon contributes two sides to the star. As the triangles are equilateral all these sides are the same length. The perimeter of the heptagon is therefore:

$\dfrac{70}{2}=35$

Perimeter of the pointy star is 70, thus $\frac{70}{14}$ = $5$ is the measure of each side of the equilateral triangle. The perimeter of the heptagon is $5*7=35$ .

Each point has 2 equal sides and there are 7 equal points so the star's outer perimeter consists of 14 equal sides so we can divide 70 by 14 we get 5 and since the triangles have equal sides the heptagon's outer perimeter consists of 7 sides each 5 long so we multiply 7 by 5 and get 35

The pointy star is made up of 14 sides of an equilateral triangle. So, the length of the side of an equilateral triangle is $\dfrac{70}{14} = 5$ . Since all sodes of an equilateral triangle are equal. The length of one side of the regular heptagon is $5$ . Since the heptagon consists of 7 sides, the perimeter of the regular heptagon is $7 × 5 = \color{#69047E}{\boxed{35}}$ .