What is the area of the shaded region?

F

Farzin

Junior Member
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Mar 13, 2017
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I need help to solve this problem. I tried different measures and found that there is a fixed pattern but I don't know how it can be calculated. Any help is highly appreciated.
12739
 
Please enlighten us and comply with submission guidelines by showing us the different measures you have tried and the things you learned along the way.
 
tkhunny said:
Please enlighten us and comply with submission guidelines by showing us the different measures you have tried and the things you learned along the way.
Click to expand...
I just used a geometry software to draw it with different measures. For example I tried AB=10, the shaded region was 25, and when AB=20, the shaded region was 100 and for AB=30 the shaded region was 225 and finally for AB=40 the area was 400.
 
That's not very helpful. What geometry or trigonometry did you learn from that experiment?

Try this:
1) Mark off 10 from D, towards B, making a new point H between D and B.
2) What is the length of AH?
3) Create line segment CH.
Does that get us anywhere?
 
tkhunny said:
That's not very helpful. What geometry or trigonometry did you learn from that experiment?

Try this:
1) Mark off 10 from D, towards B, making a new point H between D and B.
2) What is the length of AH?
3) Create line segment CH.
Does that get us anywhere?
Click to expand...
AH can be any length.
I don't think it gets us anywhere.
 
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