The floor of a theater was built in the shape of a hexagon. The interior angles of the hexagon are the same and one side is 8 meters long. How long is the perimeter of the floor in feet?

Respuesta :

Answer:

Perimeter of floor = 157.44 feet (rounded to 2 decimal place)


Step-by-step explanation:

Since all the interior angles are same, that means this is a regular polygon, which means all the side lengths are same as well.


Perimeter is the sum of all the sides. Hexagon has 6 sides, each measuring 8 meters, so Perimeter is 8 + 8 + 8 + 8 +8 + 8 = 48 meters


We need to convert this into feet (we know 3.28 feet = 1 meter)

[tex]48Meter*\frac{3.28 Feet}{1Meter}=48*3.28=157.44[/tex]


Perimeter of floor = 157.44 feet (rounded to 2 decimal place)