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


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