Library / CEMC Gauss (Grade 7) /294 of 462

CEMC Gauss (Grade 7), 2007

Algebra Difficulty 2.0 Junior Find the answer Canada

In the diagram, the square has a perimeter of 48 and the triangle has a height of 48. If the square and the triangle have the same area, what is the value of $x$ ?

(A) $1.5$ (B) $12$ (C) $6$ (D) $3$ (E) $24$

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.