A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 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

This Question is Closed

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
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.