A floor is (6 mathrm{~m}) by (4 mathrm{~m}). A rug on the floor measures (200 mathrm{~cm}) by

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A floor is \(6 \mathrm{~m}\) by \(4 \mathrm{~m}\). A rug on the floor measures \(200 \mathrm{~cm}\) by \(100 \mathrm{~cm}\). How much of the floor, in \(\mathrm{m}^{2}\), is not covered by the rug?

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