If ABC and BDE are two equilateral triangles such that D is mid-point of BC, then the ratio of the areas of triangles ABC and BDE is

1. 2 : 1

2. 1 : 2

3. 1 : 4

4. 4 : 1

In the adjoining figure, DE || CA and D is a point on BD such that BD : DC = 2 : 1. The ratio of area of △ABC to area of △BDE is

1. 4 : 1

2. 9 : 1

3. 9 : 4

4. 3 : 2

If △ABC ~ △PQR, BC = 8 cm and QR = 6 cm, then the ratio of the areas of △ABC and △PQR is

1. 8 : 6

2. 3 : 4

3. 9 : 16

4. 16 : 9