Library / UKMT Pink Kangaroo /133 of 220

UKMT Pink Kangaroo, 2025

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The two shaded rectangles are identical. They both have an area of $4\text{ cm}^2$ . What is the area of the large rectangle?

(A) $10\text{ cm}^2$ (B) $8\sqrt{3}\text{ cm}^2$ (C) $8\text{ cm}^2$ (D) $12\text{ cm}^2$ (E) $4\sqrt{3}\text{ cm}^2$

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.