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There is a figure below (a rectangle). You can see different colors depicting different regions of the figure. The labels on the top of a region defines the area of that region.

Can you find the area of the green shaded region labelled with a question mark?

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Source: http://gpuzzles.com/mind-teasers/mathematical-picture-area-problem/

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This problem can be solved with similar triangles property.

The White triangle is similar to the Red one Now Ratio of sides is $2:3$ (as the ratio of areas = ratio of bases if the height is same)

Seeking that, area of the white triangle $= \frac{9}{4} \times$ area of the red triangle $= \frac{9}{2}$ Following all the above, the Green region = $5.5$ units

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    $\begingroup$ I know how to do it, but I cannot find your "Yellow triangle". $\endgroup$ – Mick Oct 5 '14 at 10:33
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This problem can be solved with similar triangles property.

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