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10-06-2021
Mathematics

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A regular hexagon has a perimeter of 150 m. Find its area. Leave your answer in the simplest radical form.

Respuesta :

10-06-2021

Answer:

1623.80 m²

√3(1875/2) m²

Step-by-step explanation:

The area, A of a regular hexagon can be obtained using the relation :

A = √3(p²/24)

The perimeter, p = 150 m

Therefore,

A = √3(150²/24)

A = √3(22500/24)

A = √3(937.5)

A = 1623.7976

A = 1623.80 m²

A = √3(1875/2) m²

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