Assertion (A) : In ΔABC, if D is the mid-point of side AB, then area of ΔBCD = area of ΔACD.

Reason (R) : A triangle and a parallelogram on the same base and between the same parallels are equal in area.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

In the figure, ABCD is a trapezium with parallel sides AB = x and CD = y. E and F are mid-points of the non-parallel sides AD and BC respectively. The ratio of ar (ABFE) and ar (EFCD) is :

1. x : y

2. (3x + y) : (x + 3y)

3. (x + 3y) : (3x + y)

4. (2x + y) : (3x + y)

In the figure, ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects CD at F. If area of ΔDFB is 3 cm², then area of the parallelogram ABCD is :

1. 9 cm²

2. 10 cm²

3. 12 cm²

4. 15 cm²