Respuesta :

The formula to find the perimeter with the area is:
[tex]P= 3^{\frac{1}{4}} \sqrt{8A} [/tex]
Let's plug in the values:
[tex]P= 3^{\frac{1}{4}} \sqrt{8*169.74} [/tex]
Simplify:
[tex]P = 48.5[/tex]

Have a nice day! :)

The perimeter of a regular hexagon with area of 169.74 feet squared is 48.5 feet squared.

What is an hexagon?

Hexagons are polygons with 6 sides. A regular hexagon is equiangular.

Therefore,

area of hexagon = 3√3 / 2 s²

where

  • s = side length

Therefore,

area = 169.74 ft²

169.74 =  3√3 / 2 × s²

cross multiply

169.74 × 2 = 3√3 s²

339.48 /  3√3 = s²

s² = 339.48 / 5.19615242271

s = √65.3329564616

s = 8.08288042717

s = 8.08 ft

Therefore,

perimeter = 8.08(6) = 48.497282563 = 48.5 ft

learn more hexagon here: https://brainly.com/question/24291158

Otras preguntas