In the given figure, ABC is a triangle. DE is parallel to BC and $\dfrac{AD}{DB} = \dfrac{3}{2}$.

(i) Determine the ratios $\dfrac{AD}{AB} \text{ and } \dfrac{DE}{BC}$.

(ii) Prove that △DEF is similar to △CBF. Hence, find $\dfrac{EF}{FB}$.

(iii) What is the ratio of the areas of △DEF and △BFC?

In the given figure,

∠B = ∠E, ∠ACD = ∠BCE, AB = 10.4 cm and DE = 7.8 cm. Find the ratio between areas of the △ABC and △DEC.

The length and the breadth of the model of a rectangular object are 12 cm and 7 cm respectively. If the scale factor is 1 : 20, the actual length and breadth of object are :

1. 1 m & 20 m

2. 2.4 m & 1.4 m

3. 12 cm & 140 cm

4. 1.2 m & 0.7 m

The length of a boat is 2.4 m and the length of its model is 16 cm. The scale factor is :

1. 15 : 1

2. 2 : 3

3. 1 : 15

4. 3 : 2