3. (a) Imagine an infinite set of square tiles, of side lengths 1, 1 1 1 2'3'4' By the p-test, the total area of this infinite set of tiles is finite. Suppose that total area is A. What is the smallest integer N such that A (c) Explain carefully how the infinite set of tiles described in part (b) may be arranged inside a rectangle with dimensions N 1, where N is your answer from part (b). Your answer should contain a clear description of the arrangement, with illustrations if appropriate, as well as a complete explanation of why your arrangement works.