The area of a trapezium is 850 sq.cm. One of the parallel sides is 64 cm and the perpendicular distance between the parallel sides is 17 cm. Find the length of other parallel side.
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X be 36 hope it will hlp u.....
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Solution :-
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
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
Answer.
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