Math Help Blog

January 2nd, 2009

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Question: How do you answer this Math question on Similarity (ratio of the area of two figure )?

The question is in my blog click on the image to enlarge it.
Blog Add: bulhandang.blogspot.com

Please help me slove question part b(ii).

Note: Length of AE= 6_2/3 (ie. 20/3)
Length of DE= 2_ 2/3 (ie. 8/3)

Thanks ^_^

Answer: You don’t need very much of the information to determine the ratio of the areas.

Area of any triangle = 1/2 base * height

These two triangles have the same height, which we don’t need to know.

The base of one is CE and the other is CF.

Since CE:EF = 3:1
and CF = CE + EF
CE:CF = CE : (CE+EF) = 3: (3+1) = 3:4
and that’s the ratio of the areas of the triangles.

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