Question

The perimeter of a geometric figure is the sum of the lengthsof its sides. If the perimeter of the pentagon (five-sided figure)to the right is 140 meters, find the length of each side.

Answer 1

Given figure is a regular pentagon, it means it will have 5 sides of equal length.

Let the length of each side of the polygon be 'x' meters.

The perimeter of the pentagon will be the sum of all its 5 sides,

`\begin{gathered} P=x+x+x+x+x \\ P=5x \end{gathered}`

Given that the perimeter of the pentagon is 140 meters,

`P=140`

Substitute the value in the equation,

`\begin{gathered} 140=5x \\ x=(140)/(5) \\ x=28 \end{gathered}`

Thus, the length of each side of the regular pentagon is 28 meters.