two adjacent sides of a parallelogram are 24 cm and 18 cm if the distance between longer sides is 12 cm find distance between shorter sides
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5
Area of parellogram =b*h
12*18=24*h
216=24*h
216/24=h
9cm=h
12*18=24*h
216=24*h
216/24=h
9cm=h
Answered by
7
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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