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Since the shaded portion of triangle X is 1/3 that of the whole triangle X, this means we can take triangle X as 3 units.

We also know that triangle X is 1/4 that of triangle Y. Therefore, triangle Y will be (3 × 4 = 12) units.

The whole figure is then 12 + 3 – 1 = 14 units. We minus 1 unit because the shaded portion is an overlap between the two triangles and should not be counted twice.

So ratio of shaded portion  to whole figure is 1 : 14 or 1/14 as a fraction.

 

 

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Thank you very much Adwin

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For Triangle X.
shaded : unshaded : total
1 : 2 : 3

Triangle X : Triangle Y
1 : 4
3 : 12

For Triangle Y,
shaded : unshaded : total
1 : 11 : 12

2 + 11 = 13 (total unshaded)

For the figure,
shaded : unshaded : total
1 : 13 : 14

Ans : 1/14 of the figure is shaded.

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