Library / UKMT Junior Kangaroo /151 of 243

UKMT Junior Kangaroo, 2016

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows five congruent right-angled isosceles triangles. What is the total area of the triangles?

(A) $25$ cm $^2$ (B) $30$ cm $^2$ (C) $35$ cm $^2$ (D) $45$ cm $^2$ (E) $60$ cm $^2$

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: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.