Try this beautiful problem from the Pre-RMO, 2017, Question 25, based on Area of a triangle.
Area of triangles – PRMO 2017, Question 25
Let ABCD be a rectangle and let E and F be points on CD and BC respectively such that area (ADE) =16, area (CEF) =9, and area (ABF) =25. What is the area of triangle AEF?
- is 107
- is 30
- is 840
- cannot be determined from the given information
Check the Answer
But try the problem first…
Answer: is 30.
PRMO, 2017, Question 25
Higher Algebra by Hall and Knight
Try with Hints
Let x=AD, a=DE, y-a=EC, b=FC, x-b=FB, y=AB
\(xa=32, b(y-a) =18, y(x-b) =50\)
or, area of triangle AEF= 80-(16+9+25)=30.
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