Question

1. Sandra and Jerry Hampton built a deck in the shape of a regular hexagon off the back of their new home. The sides of the hexagon are 14 feet long. The couple has decided to apply water sealant to the surface of the deck to protect it from the elements. The Hamptons have already spent more than they had planned on for their new deck and they have only $30 left of their budget. The couple needs to determine the total area of the deck in order to know how much sealant to buy. What is the area of the Hampton's deck?

Answer 1

Area is 509.21 square feet.

Explanation:

The sides of the hexagon are 14 feet long.

The couple needs to determine the total area of the deck in order to know how much sealant to buy.

The area of a regular hexagon is given as:

`(3√(3)a^(2))/(2)`

where a is the side of the hexagon, which is 14 here.

So, Area =
`(3√(3)(14)^(2))/(2)`

Area = 509.21 square feet.