The diagonals BF and CE divide the hexagon ABCDEF into two equilateral triangles and a square. Find the perimeter of the hexagon

Question

3 years ago

10

if BF = 3 cm. Answer: P = cm

2 answers:

Andreyy89 · Answer 1 · 2022-08-28T08:23:06+03:00

Andreyy893 years ago

8 0

18 cm
Because all the sides are the same size

steposvetlana [31] · Answer 2 · 2022-08-28T10:07:55+03:00

Answer: The perimeter of the hexagon is 18 cm.

Step-by-step explanation: As given in the question, hexagon is shown in the attached figure.

The diagonals g and h divides the hexagon into two two equilateral triangles and one square .

Also, length of diagonal g = 3 cm.

We are to find the perimeter of hexagon.

We know that all the sides of a square are equal, so we have

length of b = length of h = length of e = length of g = 3 cm.

Since the two triangles are equilateral, so all their sides will be equal.

That is, length of a = length of f = length of g =length of c =length of d = length of h = 3 cm.

We know that the perimeter of a polygon is equal to the sum of the lengths of its sides.

Therefore, the perimeter of hexagon is given by

P = a + b + c + d + e + f = 3 + 3 + 3 + 3 + 3 + 3 = 18 cm.

Thus, the perimeter of the hexagon is 18 cm.