Math CentralQuandaries & Queries


Subject: Square Metres
Name: Wendy
Who are you: Other

Can you tell me the best way to find out how many 3m x 2m square plots i would be able to fit into a 50m x 100 m room?

Hello Wendy.

Assuming the plots don't overlap, each plot covers 3 x 2 = 6 m2. Your room is 50 x 100 = 5000 m2. When you divide, you get 833 plots with 2 m2 uncovered, so you cannot arrange them in such a way that the room is entirely covered by non-overlapping plots.

We are not sure what you are asking. Is the orientation of the plots important? It sounds like you have a warehouse. Do you need aisles between the plots?

We hope this helps,
Stephen and Penny

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