Question

Two adjacent side of parallelogram are 24 cm and 18 cm .If the distance between longer sides is 12 cm, find the distance between shorter sides

Answer 1

Distance between opposite sides =perpendicular distance.
ar(//gm )=24×12=18×x
x=24×12/18=16.

Answer 2

Let take 24 cm as the base of parallelogram, then its height is 12 cm.

We know that,

Area of parallelogram = base × height

= 24 × 12 = 288 cm2

Let’s consider d cm to be the distance between the shortest sides.

∴ Area of parallelogram = (18 × d) cm2

18 × d = 288

⇒ d = 288/18 = 16 cm

Therefore, the distance between the shorter sides is 16 cm.

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