Library / UKMT Junior Kangaroo /96 of 243

UKMT Junior Kangaroo, 2015

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

A rectangular garden is surrounded by a path of constant width. The perimeter of the garden is $24$ m shorter than the distance along the outside edge of the path. What is the width of the path?

(A) $1$ m (B) $2$ m (C) $3$ m (D) $4$ m (E) $5$ m

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.