The area of trapezium is 804cm and the perpendicular
distance between their two parallel sides is 24 cm. If one of
the two parallel sides is 38 cm, find the other.
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Answer:Area of trapezium = 1/2 × Sum of the two parallel sides × Perpendicular distance (Height)
Let the length of the other parallel side of the given trapezium be x cm
⇒ 850 = 1/2 × (64 + x) × 17
⇒ 850 × 2 = 17 × (64 + x)
⇒ 1700 = 1088 + 17x
⇒ 17x = 1700 - 1088
⇒ 17x = 612
⇒ x = 612/17
⇒ x = 36
Hence, the length of the parallel side is 36 cm
Step-by-step explanation:
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