the local high school is setting up square-shaped lunch tables in the cafeteria. each table has an area of 12x^3-4x^2 square feet. if sqrt 3x+1 tables are put end to ed to form a banquet table, how long will the banquet table be? assume x>1/3
part 1: use theformula for area of a square, A=s^2 to find the side length of each table.
since the area is 12x^3 - 4x^2
each side is √( 12x^3 - 4x^2 )
= √(4x^2( 3x - 1))
= 2x√(3x-1)
so length of banket table = √(3x-1) (2x(√(3x-1)))
= 2x(3x-1) or 6x^2 - 2x