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Problem 198

Geometry Difficulty 1.5 Multiple choice CEMC Gauss (Grade 8) · Canada · 2022

A rectangular pool measures 20 m by 8 m. There is a 1 m wide
walkway around the outside of the pool, as shown by the shaded
region.

The area of the walkway is

Pick one

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Official solution

The first Wednesday of a month must occur on one of the first 7
days of a month, that is, the 1st, 2nd,
3rd, 4th, 5th, 6th, or 7th of the month.

The second Wednesday of a month occurs 7 days following the first
Wednesday of that month, and the third Wednesday of a month occurs 14
days following the first Wednesday of that month.

Adding 14 days to each of the possible dates for the first Wednesday of
the month, we get that the third Wednesday of a month must occur on the
15th, 16th, 17th, 18th, 19th, 20th, or 21st of that month.

Of the given answers, the public holiday cannot occur on the 22nd of that month.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.