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Using the breadth of the figure as the bases of the shaded triangles, there would be 2 shaded triangles with the same base and perpendicular height and therefore same area of 1 rectangle each..
Fraction of the figure that is shaded is thus 2/6 = 1/3

Ans : 1/3.

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Hi BigDevil,

Thanks! I didnt see the computation of base area and height at first. Your solution prompted my other solution here… Moving both vertices to “realign” the shaded areas within 2 bars, out of 6 bars. 🙂

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For me, computation is easier. I am just particularly bad at “seeing” the cutting and pasting of the shaded areas. 

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Thanks a lot for explanation 

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Sorry. I think my photo in iphone cannot be uploaded. Try to visualise the bottom triangle area first. = half of 3 bars less half of 1 bar

 

Same technique when you turn the picture upside down. = half of 5 bars less half of 3 bars

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Thank you so much 

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Let Each rectangle be 1.0 area.

Bottom shaded area = 1.5 – 0.5 = 1.0

top shaded area = (2+1.5) – 2.5 = also view upside down is 2.5 – 1.5 = 1.0

total shaded area out of 6 rectangle = 2/6 = 1/3#

updated. Not sure can see picture upload from iphone. Markup with fat fingers…. 

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Thanks for answer

It would be great to explain in graphically with diagram 

 

 

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