Question

An interesting geometry problem . Give it a try !

Answer 1

hint: additional construction needed

Answer 2

lol midpoints =)) why do i get the feeling of diagonals and perpendicular bisectors

Answer 3

Do points E and C bisect the lines they are on?

Answer 4

I feel like it must be 20 units.

Answer 5

that's all the info ... no guesses ... .

Answer 6

Since the location of E, F, and G are not explicitly stated, let E be the same point as A, F the same as B, and G the same as C. Then you have the same parallelogram. Thus, area is 20.

Answer 7

nice Job ... we've got a winner ! @KingGeorge

Answer 8

btw ... have you sen this problem before ?

Answer 9

An alternative way would be to set it up so that line DE is perpendicular to AB. Then we have the same height and length, so the same area.

Answer 10

yep... this will make the Geometry final ...what do you think?

Answer 11

No, I haven't seen it, but if points aren't fixed, moving them to the extremes can often be helpful.

I like it a lot for a final. Easy if you realize you can move points, difficult otherwise. In theory, more creative students would be able to do better on this question.

Answer 12

Did you make this problem yourself?

Answer 13

This is what I count on ... . No ... found it in a book .

Answer 14

Out of curiosity, what book? And how did they solve it?

Answer 15

" - Math wonders to inspire students and teachers"-Alfred S.Posamentier

Answer 16

similar way to your 1st solution

Answer 17

I can put the pdf up in my google docs and give you the link

Answer 18

That would be awesome. Thanks.

Answer 19

uploading....

Answer 20

https://docs.google.com/open?id=0B4Z7NHkWNs0YU1kwSTZvTnJxamc

Answer 21

let me know if it worked

Answer 22

It worked. Thanks a bunch. Another book to add to my digital collection of math books.

Answer 23

:)

Answer 24

On a side note, are you teaching geometry somewhere?

Answer 25

I'm teaching 7th grade to 12th grade Math