A tile installer has selected four different size square tiles to cover a floor. The areas of the tiles are Tile A = 9 in.², Tile B = 25 in.², Tile C = 34 in.², and Tile D = 76 in.². For which tiles are the lengths of the sides rational?

Answer 1

ah, now I see why you asked the fence question
the length of the side of a square of area A is square root of A
sqrt 9 = 3 very rational
sqrt 25 = 5, again rational
sqrt 34 = nothing nice ! sqrt (2*17) yuuk
sqrt 76 = 2 sqrt (19) again not nice