anonymous
  • anonymous
PLEASE HELP! The figure below shows AB = 4 units and BD = 6 units. If the area of triangle ADE is 50 square units, what is the area of the trapezoid BCED? 40 square units 44 square units 48 square units 42 square units http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_Seg_Two_Exam_35/image0034e9d7dd7.jpg
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Are you familiar with the concept that similar figures have a ratio for area?
lgbasallote
  • lgbasallote
de javu
anonymous
  • anonymous
Yea

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anonymous
  • anonymous
I mean as in if there is a ratio between side lengths a : b, then the ratio fo the areas is \(a^2 : b^2\)
lgbasallote
  • lgbasallote
im thinking area of big triangle - area of small triangle = area of trapezoid
anonymous
  • anonymous
Yea I know what you're talking about @Calcmathlete
anonymous
  • anonymous
Yup. First you have to find the area of the smaller triangle though. If a : b is 2 : 5, then what is \(a^2 : b^2\)?
anonymous
  • anonymous
4:25
lgbasallote
  • lgbasallote
how did you get 2:5 again?
anonymous
  • anonymous
Shouldn't it be 4:5?
anonymous
  • anonymous
The ratio of the similar triangles lgba. Now, set up a proportion between the two areas. \[\frac{4}{25} = \frac{x}{50}\]Solve for x.
anonymous
  • anonymous
Why do you say it should be 4 : 5?
anonymous
  • anonymous
Because that's the ratio of the corresponding sides...CB=4 and BE=5 so the ratio would be 4:5 or 0.8
anonymous
  • anonymous
Are we looking at the same picture?
anonymous
  • anonymous
Sorry I was looking at a different question haha
anonymous
  • anonymous
shouldn't it be 4:6 then or 2:3?
anonymous
  • anonymous
Not quite. That isn't the ratio of the triangles. Think about it. 6 is a part of the side of a triangle. Not the actual triangle.
anonymous
  • anonymous
Okay got it x=8
anonymous
  • anonymous
Ok. Now subtract the areas of the two triangles.
anonymous
  • anonymous
I know the area of the first triangle is 50...what's the area of the second?
anonymous
  • anonymous
Area of the second triangle = 8
anonymous
  • anonymous
Ohhh 50-8=42
anonymous
  • anonymous
There you go :)
anonymous
  • anonymous
You are truly awesome
anonymous
  • anonymous
lol Thanks @lgbasallote Clearly you need to brush up on those geometry skills ;)
lgbasallote
  • lgbasallote
...clearly...
lgbasallote
  • lgbasallote
hmm it always is 42 huh

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