Question

The midpoints of a regular hexagon are connected to form a smaller hexagon. The small hexagon has perimeter 2sqrt3. What is the perimeter of the large hexagon?

Answer 1

answer above mine

Explanation:

Answer 2

4

Explanation:

x - length of side of larger hexagon

y - length of side of smaller hexagon

We know that,

x/y =
`√(3) /2`

y =
`2x/√(3)`

Hence,

perimeter of =
`(2/√(3))` * perimeter of smaller hexagon

larger hexagon

=
`(2/√(3))*2√(3)  \\= 4`