In ΔABC, DE ∥ BC so that AD = (7x − 4) cm, AE = (5x − 2) cm, DB = (3x + 4) cm and EC = (3x) cm.
Then x equals:

1. 2.5

2. 3

3. 4

4. 5

It is given that ΔABC ∼ ΔDFE. If ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF = 7.5 cm, then which of the following is true?

1. DE = 12 cm, ∠F = 50°

2. DE = 12 cm, ∠F = 100°

3. EF = 12 cm, ∠D = 100°

4. EF = 12 cm, ∠D = 30°

ΔABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. ΔDEF ∼ ΔABC. If EF = 4 cm, then the perimeter of ΔDEF is :

1. 7.5 cm

2. 15 cm

3. 22.5 cm

4. 30 cm