The perimeter of a certain hexagon is 14.7 centimeters. Five of the sides have the same
length of n centimeters, while the one side has a length of 1.9 centimeters, as shown
below.

The perimeter of a certain hexagon is 147 centimeters Five of the sides have the same length of n centimeters while the one side has a length of 19 centimeters class=

Respuesta :

Answer:

The value of n is n = 2.56 cm

Option D is correct option.

Step-by-step explanation:

Perimeter of hexagon = 14.7 cm

Five sides have length = n cm

One side has length = 1.9 cm

We need to find value of n

The formula used to find Perimeter of hexagon is : [tex]Perimeter = Sum\;of\:all\:sides[/tex]

We can write:

[tex]Perimeter = Sum\;of\:all\:sides\\14.7=5n+1.9\\[/tex]

Because 5 sides have length = n so, 5n and one side has length = 1.9

Now, solving to find n

[tex]14.7-1.9=5n\\5n=12.8\\n=\frac{12.8}{5}\\n=2.56[/tex]

So, The value of n is n = 2.56 cm

Option D is correct option.