Library / UKMT Junior Mathematical Challenge /162 of 274

UKMT Junior Mathematical Challenge, 2019

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows two squares $JKLM$ and $PQRS$ . The length of $JK$ is $6\text{ cm}$ and that of $PQ$ is $4\text{ cm}$ . The vertex $K$ is the midpoint of side $RS$ . What is the area of the shaded region?

(A) $22\text{ cm}^2$ (B) $24\text{ cm}^2$ (C) $26\text{ cm}^2$ (D) $28\text{ cm}^2$ (E) $30\text{ cm}^2$

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.