Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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
 one year ago
 one year 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
 one year ago
 one year ago

This Question is Closed

CalcmathleteBest ResponseYou've already chosen the best response.3
Are you familiar with the concept that similar figures have a ratio for area?
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.3
I mean as in if there is a ratio between side lengths a : b, then the ratio fo the areas is \(a^2 : b^2\)
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
im thinking area of big triangle  area of small triangle = area of trapezoid
 one year ago

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

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

lgbasalloteBest ResponseYou've already chosen the best response.0
how did you get 2:5 again?
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.3
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.
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.3
Why do you say it should be 4 : 5?
 one year ago

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

CalcmathleteBest ResponseYou've already chosen the best response.3
Are we looking at the same picture?
 one year ago

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

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

CalcmathleteBest ResponseYou've already chosen the best response.3
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.
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.3
Ok. Now subtract the areas of the two triangles.
 one year ago

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

CalcmathleteBest ResponseYou've already chosen the best response.3
Area of the second triangle = 8
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.3
lol Thanks @lgbasallote Clearly you need to brush up on those geometry skills ;)
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
hmm it always is 42 huh
 one year ago
See more questions >>>
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.