Question

The Perimeter of a Pentagon is 20.5 centimeters. Four sides of this pentagon have the same length, in centimeters, x, and the other side has a length of 2.1 centimeters, as shown below. What is the value of x? ​

Answer 1

`4.6\ \text{cm}`

Explanation:

Perimeter of the pentagon = 20.5 cm

Length of 4 sides =
`x`

Length of the other side = 2.1 cm

Perimeter of the pentagon will be

`x+x+x+x+2.1=20.5\\\Rightarrow 4x+2.1=20.5\\\Rightarrow 4x=20.5-2.1\\\Rightarrow 4x=18.4\\\Rightarrow x=(18.4)/(4)\\\Rightarrow x=4.6\ \text{cm}`

The value of
`x` is
`4.6\ \text{cm}`.