Question

For a regular hexagon, the area is 585 cm^2 and the apothem is 13.0 cm. Find the side length, in centimeters, of the hexagon. Round your answer to the nearest whole number.​

Answer 1

Explanation:

Area = 1/2 (a * p)

585 = 1/2 (13 * p)

1170 = 13 * p

13*p = 1170

p = 1170/13

p = 90

There are six sides to a regular hexagon. Therefore divide the perimeter by 6.

side = p / 6

side = 90 / 6

side = 15