Skip to main content

2006/07 AHSMC Part 1 Problem 2

Problem 2 of 16

The number of non-congruent rectangles with integer sides and area 2006=2×17×592006 = 2 \times 17 \times 59 is

Answer choices

Show solution

Solution

There are 44 such rectangles, namely, 1×20061 \times 2006, 2×10032 \times 1003, 17×11817 \times 118 and 34×5934 \times 59. The answer is (b).

University of Alberta