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,

$\begin{gathered} 140=5x \\ x=\frac{140}{5} \\ x=28 \end{gathered}$

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