Math Problem : JJ.46 Partition of rectangle and three points

There is a rectangle ABCD of which area is 140cm2

As shown in a figure, the point E is inside the rectangle. 

The area of the triangle ABE is 42cm2 and the area of the the triangle BCE is 21cm2

Answer the following questions.

(1) Find the area of triangle CDE.

(2) Find the area of triangle BDE.

(3) The intersection of the diagonal line AC and the diagonal line BD is set to F and the intersection of the diagonal line AC and the line DE is set to G.


Find the difference of the area of the triangle DFG and the area of the triangle CEG.














Answer
(1) 28 cm2
(2) 21 cm2
(3) 7 cm2

Reference