CEMC Cayley, 2009

Geometry Difficulty 2.0 Junior Find the answer Canada

A line with slope equal to 1 and a line with slope equal to 2 intersect at the point $P(1,6)$ , as shown. The area of $\triangle PQR$ is

(A) $6$ (B) $9$ (C) $12$ (D) $15$ (E) $18$

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.