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Find the area of the polygon

Find the area of the polygon-example-1
User Gatsbyz
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1 Answer

7 votes

Answer:

Explanation:

The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the pentagon to the base of one of its sides.

The formula for determining the area of a regular polygon is expressed as

Area = a² × n × tan 180/n

Where n represents the number of sides of the polygon.

n = 5

Apotherm = 6.5

Therefore,

Area = 6.5² × 5 × tan(180/5)

Area = 211.25 × tan 36

Area = 153.5

User Mackelito
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