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

Answer:

$4.6\ \text{cm}$

Step-by-step 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

$x+x+x+x+2.1=20.5\\\Rightarrow 4x+2.1=20.5\\\Rightarrow 4x=20.5-2.1\\\Rightarrow 4x=18.4\\\Rightarrow x=\dfrac{18.4}{4}\\\Rightarrow x=4.6\ \text{cm}$

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