Question

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.

Answer 1

The value of n is n = 2.56 cm

Option D is correct option.

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 :
`Perimeter = Sum\;of\:all\:sides`

We can write:

`Perimeter = Sum\;of\:all\:sides\\14.7=5n+1.9\\`

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

Now, solving to find n

`14.7-1.9=5n\\5n=12.8\\n=(12.8)/(5)\\n=2.56`

So, The value of n is n = 2.56 cm

Option D is correct option.