Posted by olav on Sunday, December 12, 2010 at 11:58am.
I did not answer this question before, because I found it confusing.
AEFG EBHF are not rectangles
Is there a point named for the intersection of GH and EF ?
Check your typing.
I don't see a problem but I will rewrite the structure.
Make two rectangles attached together.
Call the first rectangle ABHG (AG top, BH bottom).
Call the second rectangle GHCD (HC top, GD bottom).
Draw a horizontal line from line AB to line GH and name the points E on line AB and F on line GH.
example:
A----G-------------D
|....|.............|
|....|.............|
E----F.............|
|....|.............|
|....|.............|
|....|.............|
|....|.............|
B----H-------------C
Rectangles AEFG, EBHF and GHCD are similar.
The length of AE is 4cm.
The length of EB is 9cm.
What is the area of rectangle GHCD ?
Look at your diagram and trace out
figure AEFG, it does not form a rectangle.
the same is true for EBHF.
Also, it is proper notation to list the order of letters of similar shapes so that line segments correspond.
e.g.
If I were to say triangle ABC is similar to triangle PQR
then, without looking at the diagram, I can tell that
AB/AC = PQ/PR etc.
I think we have to call the intersection of EF and GH something like K
So did you mean rectangle AEKG is similar to rectangle EBHK ?
How do the sides line up?
I think it would have to be something like
AE/EK = EK/EB
I reposted a better structure at 1:58
thank you for your help so far.