My kitchen's floor maths

Geometry Level 3

A tiled floor of my kitchen has dimensions mxm sq.m. Dimension of the tile used are nxn sq.m. All tiles that are used are green in color except diagonal tiles which are red. Now in this month I have to replace some green tiles with red to form an alternate red and green tiles pattern. How many green tiles will be removed??

m^2-4mn-n^2/2n^2 m^2-4mn-2n^2/2n^2 m2-4mn+2n^2/2n^2 (m-2n)^2-n^2/2n^2

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