7/21/2019 2014 10 02 Problem B 2 Scaryman

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Problem of the Week

Problem B

Scaryman

You are playing the very scary video game Scaryman. Randomly generatedrooms are rectangular, and each has a perimeter of 20 m. The length and widthof each room is a whole number.

a) What are the dimensions of the room with

the least area?

b) What are the dimensions of the room withthe greatest area?

c) There are five silent monsters randomlyplaced in the room with the greatest area.Each monster takes up one square metre. If you step through the door into the room of greatest area, what is the probability that

you will stumble into a monster?

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Strand:   Measurement, Probability