Answered

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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.

Sagot :

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,

[tex]\begin{gathered} P=x+x+x+x+x \\ P=5x \end{gathered}[/tex]

Given that the perimeter of the pentagon is 140 meters,

[tex]P=140[/tex]

Substitute the value in the equation,

[tex]\begin{gathered} 140=5x \\ x=\frac{140}{5} \\ x=28 \end{gathered}[/tex]

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

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