The lengths of two adjacent sides of a parallelogram are 12 cm and 10 cm respectively. If the distance between the longer sides be 8 cm, then the distance between two shorter sides will be :

1. 9.1 cm

2. 9.2 cm

3. 9.4 cm

4. 9.6 cm

Longer side = 12 cm

Shorter side = 10 cm

Distance between longer sides (height corresponding to 12 cm) = 8 cm

Area of //gm = Base × Height

= 12 × 8 = 96 cm².

Distance between the shorter side be h cm.

Area of //gm = Base × Height

⇒ 96 = 10 × h

⇒ h = $\dfrac{96}{10}$ = 9.6 cm.

Hence, option 4 is the correct option.