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The number of columns is in the title floor before the change in layout is 10
Given that A rectangular tiled floor is composed of 70 square tiles. The rectangular floor is rearranged so that 2 tiles are removed from each columns and 4 tiles are added to each row. After the change in layout, the floor will still have 70 tiles, and still be rectangular asked to find the number of columns in the tile floor before the change in layout.
Let's assume the number of rows is x
The number of columns will be [tex]\frac{70}{x}[/tex]
After the changing, the rows can be x+4
The number of columns will be [tex]\frac{70}{x}[/tex]-2
The equation will be (x+4)([tex]\frac{70}{x}[/tex]-2)=70
⇒[tex]x^{2} +4x-140=0[/tex]
⇒x=10
Therefore,The number of columns is in the title floor before the change in layout is 10
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