Question

And is a clever painter inspired by Mondrian work she decides to create a mathematical work of art she divides a square canvas into 9 equal squares and paints essential one red she then divides each of the eight remaining uncle of squares into 9 equal squares painting each of the central squares so formed yellow the remaining and coloured squares again each divided into 9 the centra this time being painted blue this process is repeated using a different colour for each set of Central Square until just over half of the original area off the canvas is has been coloured how many different colours have then been used and how many central squares have been painted
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Answer 1

The different colours that has been used is red, yellow and blue and the number of central squares is = 73 boxes

The Mondrian's work

The First division that was divided into 9 equal parts has = 1 coloured red.

The second division is 8 remaining

uncoloured squares into 9 equal squares = 8×9= 72boxes

The number of boxes that was coloured yellow =8 boxes

The remaining uncolored boxes which is = 72 - 8 = 64 boxes

The third division is the division of each remaining uncolored boxes into 9. That is 64 × 9 = 576

The number of boxes that was coloured blue = 64 boxes

Therefore the number of central squares that has been coloured = 1 + 8 + 64

= 73 boxes

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