Question

Two sides of a parallelogram are 8 cm and 6 cm. The distance between the longer sides is 3 cm. The distance between the shorter sides is ______.

Options

• 5 cm

• 4 cm

• 4.5 cm

• 6 cm

Answer 1

Two sides of a parallelogram are 8 cm and 6 cm. The distance between the longer sides is 3 cm. The distance between the shorter sides is 4 cm.

Explanation:

The problem states:

• Two sides of a parallelogram are 8 cm (longer side) and 6 cm (shorter side).
• The distance (height) between the longer sides is 3 cm.
• We need to find the distance (height) between the shorter sides.

In a parallelogram,

Area = Base × Height.

So,

1. Find the area using the longer side as base:

Area = 8 cm × 3 cm

= 24 cm²

2. Find the height corresponding to the shorter side using the same area:

Height = Area ÷ Shorter side 

= 24 cm² ÷ 6 cm

= 4 cm

Hence, the distance between the shorter sides is 4 cm.