The adjacent sides of a parallelogram are 32 cm and 24 cm. If the distance between the longer sides is 17.4 cm, find the distance between the shorter sides.
Given:
Longer side = 32 cm
Shorter side = 24 cm
Distance between Longer sides = 17.4 cm
Now,
Area of parallelogram = Longer side × Distance between Longer sides
= 32 cm × 17.4 cm
= 556.8 cm2
Also,
Area of parallelogram = Shorter side × Distance between Shorter sides
⇒ 556.8 cm2 = 24 cm × x cm
⇒ x = 23.2 cm
Hence,
Distance between Shorter sides = 23.2 cm