CEMC Fermat, 2005

Algebra Difficulty 2.0 Junior Find the answer Canada

The lines $y = -2x + 8$ and $y = \dfrac{1}{2}x - 2$ meet at $(4, 0)$ , as shown. The area of the triangle formed by these two lines and the line $x = -2$ is

(A) $15$ (B) $27$ (C) $30$ (D) $36$ (E) $45$

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.