Question

A regular hexagon has a side length of 4cm. Find it’s perimeter and area

Answer 1

Perimeter = 24cm Area =41.56cm^2

The perimeter of a hexagon is 6×S

perimeter = 6×4 = 24cm

The area of a hexagon is

`(3 * √(3 ) * {x}^(2)) / 2`

area =(3×1.73×4×4)/2

area= 41.56 cm^2

Answer 2

Answer: Perimeter = 24cm

Area = 41.56921938cm² (If the question requires you to round then do so)

Explanation:

To find the perimeter of a regular hexagon we use the formula
`P=6s`where S is the length of one side.

`P=6(4)`

`P=24`

To find the area of a regular hexagon we use the formula
`A=(3√(3) )/(2) s^(2)` where S is the length of one side.

Or a simpler formula
`A=(3)/(2)` ×
`√(3)` ×
`s^(2)`

`A=(3√(3) )/(2) 4^(2)`

`A=(3)/(2)` ×
`√(3)` ×
`4^(2)`

`A=41.56921938`

If the question asks you to round the area to the nearest decimal place then do so

Rounded to the tenth place: 41.6

Rounded to the hundredths place: 41.57

Rounded to the thousandth place: 41.569