Library / UKMT Grey Kangaroo /206 of 242

UKMT Grey Kangaroo, 2017

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Two segments, each 1 cm long, are marked on opposite sides of a square of side 8 cm. The ends of the segments are joined as shown in the diagram. What is the total shaded area?

(A) $2\text{ cm}^2$ (B) $4\text{ cm}^2$ (C) $6.4\text{ cm}^2$ (D) $8\text{ cm}^2$ (E) $10\text{ cm}^2$

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.