The area of a trapezium is 198 sq.cm and distance between its parallel sides is 12 cm. What is the sum of the parallel sides?
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3
Answer:
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.
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0
Step-by-step explanation:
Area of a trapezium=
1
2
×(Sum of parallel sides)×(Distance between them)
={
1
2
×(24+20)×15} cm2=(
1
2
×44×15) cm2=(22×15) cm2=330 cm2
Hence, the area of the trapezium is 330 cm2.
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