what will be the area of the shaded region of the following rectangle. Where 2m*2 and 3m*2 are the areas of the enclosed triangles. I'm trying to figure out any help. thanks
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1Please include your thought on the problem. If not, I will say the answer is $5.5$. – Eclipse Sun May 03 '16 at 15:11
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What do the "2" and "3" mean? Are those the areas of the enclosed triangles? – bob.sacamento May 03 '16 at 15:21
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@bob.sacamento Yeah 2m2 and 3m2 are areas of enclosed triangles. – jquery404 May 03 '16 at 15:57
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@EclipseSun could u plz share how u get 5.5 – jquery404 May 03 '16 at 16:01
1 Answers
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Hint 1
It is enough to find the area of half the rectangle.
Hint 2
Let the top, right and bottom triangles have areas $x,y,z$ respectively. Can you figure out the ratio $y:z$ based on the ratio $x:y$?
user21820
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So is it 2/3=3/z, z=4.5. So half of the rect area is 7.5. So area of shaded one 5.5 – jquery404 May 03 '16 at 16:28
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@jquery404: Perfect. Next time, include your thoughts on the question, so that we can know where you are stuck and give you more appropriate help. =) – user21820 May 04 '16 at 01:46
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can u explain a little bit how $y:z$ can be compared with $x:y$.. i mean how it works – jquery404 May 04 '16 at 05:36
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@jquery404: Didn't you get it just now? Well area of a triangle is half base times height, so if you choose the appropriate base you can see that $x:y$ tells you the ratio of two line segments, and then using the parallel lines and similar triangles you know the ratio of another two line segments, and then you know $y:z$. – user21820 May 04 '16 at 06:59