The diagonals bf and ce divide the hexagon abcdef into two equilateral triangles and a square. find the perimeter of the hexagon if bf = 3 cm. p = cm

 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.

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