The adjacent sides of a parallelogram are 36 cm and 27 cm in length. If the distance between the shorter sides is 12 cm, find the distance between the longer sides.

Question

Philoid · Accepted Answer

Given:

Longer side = 36 cm

Shorter side = 27 cm

Distance between Shorter sides = 12 cm

Let, Distance between Longer sides = x cm

Now,

Area of parallelogram = Shorter Side × Distance between Longer sides

= 27 cm × 12 cm

= 324 cm²

Also,

Area of parallelogram = Longer side × Distance between Longer sides

⇒ 324 cm² = 36 cm × x cm

⇒ x = 9 cm

Hence,

Distance between Shorter sides = 9 cm