# Find The Ratio of Area of The Parallelogram DEFB and the trapezium CAFD is: If

If D, E and F are the midpoints of BC, CA and AB respectively of DABC then the ratio of area of the parallelogram DEFB and area of the trapezium CAFD is:

- 2 : 3
- 1 : 3
- 3 : 4
- 1 : 2

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**Answer: (1) 2 : 3
**

**Explanation:-**

In the figure-

Area of all small triangle DCE, AEF, DEF, BDF = (Area of triangle)/4

Therefore, the ratio of area of the parallelogrem DEFB and the area of the trapezium CAFD = 2/ 3

= 2 : 3

Hence, the answer is (1) 2 : 3.