Question
A trapezium has an area of 570 cm2. The height of the trapezium is 5 cm and the larger parallel side is twice in length as the smaller parallel side.Choose the correct option.
Answer: Option A
:
A and B
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A and B
Let h be the height of a trapezium, 'a' be the length of a larger parallel side and 'b' be the length of a smaller parallel side.
Area of trapezium is given by:
A=12×(a+b)×h
Since larger parallel side is twice in length as the smaller parallel side
⇒a=2b
⇒A=12×(2b+b)×h
⇒A=3b×h2
⇒570=3b×52
⇒b=76cm
⇒a=2b=2×76=152cm
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