# 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:

1. 2 : 3
2. 1 : 3
3. 3 : 4
4. 1 : 2

Warning: Illegal string offset 'alt_text' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 742

Warning: Illegal string offset 'description' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 743

Warning: Illegal string offset 'alt_text' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 742

Warning: Illegal string offset 'description' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 743

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.

Anurag Mishra Professor Answered on 28th August 2015.