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 2 years ago
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
 2 years ago
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

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Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3Are you familiar with the concept that similar figures have a ratio for area?

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3I 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
 2 years ago
Best ResponseYou've already chosen the best response.0im thinking area of big triangle  area of small triangle = area of trapezoid

J.L.
 2 years ago
Best ResponseYou've already chosen the best response.0Yea I know what you're talking about @Calcmathlete

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3Yup. First you have to find the area of the smaller triangle though. If a : b is 2 : 5, then what is \(a^2 : b^2\)?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0how did you get 2:5 again?

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3The ratio of the similar triangles lgba. Now, set up a proportion between the two areas. \[\frac{4}{25} = \frac{x}{50}\]Solve for x.

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3Why do you say it should be 4 : 5?

J.L.
 2 years ago
Best ResponseYou've already chosen the best response.0Because that's the ratio of the corresponding sides...CB=4 and BE=5 so the ratio would be 4:5 or 0.8

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3Are we looking at the same picture?

J.L.
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry I was looking at a different question haha

J.L.
 2 years ago
Best ResponseYou've already chosen the best response.0shouldn't it be 4:6 then or 2:3?

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3Not 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.

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3Ok. Now subtract the areas of the two triangles.

J.L.
 2 years ago
Best ResponseYou've already chosen the best response.0I know the area of the first triangle is 50...what's the area of the second?

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3Area of the second triangle = 8

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.3lol Thanks @lgbasallote Clearly you need to brush up on those geometry skills ;)

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0hmm it always is 42 huh
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