Maths Area Puzzle

https://i.imgur.com/Vvf0eky.jpg

The figure shown in the image consists of a rectangle sub-divided into 4 triangles. The numbers shown in each triangle represents their area.

What is the area of the green region shown as '?'

Note - the information given is perfectly adequate to provide a solution, dependent on your knowledge of similar tringles.

 

5.5

 

5

 

>7.
3 appears larger than a linear '2+1'.

 

When enough players have posted, I will post the solution description.
It is not an easy puzzle.

 

Its a pity this tricky puzzle has gone down like a lead balloon, with only 3 responders.

 

Look at the brite side. So far you had 100 people look at it. Since it's tricky maybe some are cautious of being seen wrong.

 

5.5 taken from knowing the area of the white triangle, which is similar to the red triangle. The ratio of the areas for the white and red triangle is the squares of the ratios of corresponding sides. The ratio of the corresponding sides along the straight line bordering the red and blue triangles (the blue triangle side is the same as the white one) is 2:3. Hence ratio of red triangle area to white triangle area is 4/9 (i.e. square of the ratio of the corresponding sides) and so the area of white triangle is 9/4 * 2, i.e., 4.5. Following-on the area of the green triangle is 4.5 + 3 - 2 = 5.5.

 

Where is the area of the white triangle?

 

Maxwell has already explained how to find the white triangle area.

 

Post #2 ...

 

show-off.... shine-out or whatever that is....
congrats anyway

 

With Maxwell giving an excellent description of similar triangle relationships, his description is as good as my own, so I have no need to post it.
5.5 is the correct answer for the green area.
If one has a firm understanding of similar triangles sides and areas relationships, there is no need for an explanation of how to solve it, it becomes a simple mental exercise to find the answer in seconds.