SOLUTION: the perimeter of a hexagonal box measures 42m.what is the area?

Question 176165: the perimeter of a hexagonal box measures 42m.what is the area?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If the perimeter of a regular hexagon is 42, each of the sides has length . A regular hexagon consists of six congruent equilateral triangles, each having side lengths equal to the side of the hexagon. An equilateral triangle with side lengths of 7 has a base of 7 and a height of (Use Pythagoras to verify) Therefore the area is . So the area of the hexagon is square meters.

Visit http://www.mathreference.com/geo,hex.html to see a picture.
RELATED QUESTIONS
A wooden jewelry box has the shape of a prism with a regular hexagonal base of... (answered by solver91311)

Thank you in advance for help:) A jewelry box has the shape of a prism with a regular... (answered by Theo)

Find the surface area of the hexagonal prism if the area of the hexagonal base is 65. (answered by fcabanski)

If a wooden jewelry box has the shape of a prism with a hexagonal base of 20 in2 in area, (answered by Alan3354)

A tennis court is to be covered with fiber glass. Its area is 80m^2 and its perimeter is... (answered by Alan3354)

1. A tennis court is to be covered with fiber glass. its area is 80m^2 and its... (answered by josgarithmetic)

The length of a rectangle is 3m less than twice the width. the perimeter of the rectangle (answered by Paul)

the perimeter of a rectangle is 42m . the length of the rectangle is 3m less than twice... (answered by actuary)

The perimeter of a rectangle is 42m. The length of the rectangle is 3m less than twice... (answered by ewatrrr)