What is the perimeter, rounded to the nearest tenth? The area of the regular hexagon is 169.74 ft2.

A regular hexagon has an apothem with length 7 feet and an area of 169.74 feet squared.

What is the perimeter, rounded to the nearest tenth?

24.2 ft
28.3 ft
48.5 ft
56.8 ft

C. 48.5

Explanation:

When asked to find the perimeter of any regular hexagon given the area and apothem, you may apply the formula
a = 1/2 x a1 x p, where a is the area, a1 is the apothem, and p is of course the perimeter.

1) 169.74 = 1/2 x 7 x p
2) 169.74 x 2 = 7 x p
3) 339.48/7 = p
4) p = 48.497
5) ≈ 48.5

Hope this helps, brainliest would be appreciated :)