The rileys are replacing the carpet on their outdoor deck. the deck is a regular hexagon with radius 9ft. the cost for the carpet and installation is $3.75/ft^2. what will it cost to replace the carpet? have to show work on how i got the answer

Hexagon radius = side = r =9 ft.

Hexagon Area = (3√3)/2 * r²

∴ Area = (3√3)/2 * 9² ≈ 210.444 ft²

The cost for the carpet and installation is $3.75/ft²

∴ The total cost = Area * cost per ft²
                          = 210.444 * 3.75
                          = $ 789.166