Library / UKMT Pink Kangaroo /132 of 220

UKMT Pink Kangaroo, 2021

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

A rectangle with perimeter 30 cm is divided by two lines, forming a square of area $9 \text{ cm}^2$ , as shown in the figure. What is the perimeter of the shaded rectangle?

(A) $14 \text{ cm}$ (B) $16 \text{ cm}$ (C) $18 \text{ cm}$ (D) $21 \text{ cm}$ (E) $24 \text{ cm}$

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.