Maths Olympiad Prep

Library / UKMT Junior Kangaroo /80 of 243

UKMT Junior Kangaroo, 2015

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

In the diagram, the small equilateral triangles have area 4 cm24\text{ cm}^2. What is the area of the shaded region?

(A) 80 cm280\text{ cm}^2 (B) 90 cm290\text{ cm}^2 (C) 100 cm2100\text{ cm}^2 (D) 110 cm2110\text{ cm}^2 (E) 120 cm2120\text{ 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.