Question

My cousin goes to a strange schools. It's called Geometric Middle School. My cousin's math project is to determine how many tiles will be needed to tile the whole floor if the cafeteria is to have sides that are 12 feet long. He sent me the information and he wants my help. What is the answer?
A hexagon that is one foot long, uses 6 tiles
A hexagon with sides two feet long uses 24 tiles

Answer 1

Area of trapezoid  = (1/2) (b1 + b2) h
                             = (1/2) x  (12 + 24) x 6 sqrt 3
                             =   108 sqrt 3

area of Hexagon = 2 x Area of trapezoid
                            = 2 x 108 sqrt 3
                            = 216 sqrt 3