Find the height of trapezium whose area is 420 sq cm and the sum of the length of its parallel side is 30 cm.
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420 = 30/2×h
420×2/30=h
h=28
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Given : A trapezium whose area is 420 sq cm and the sum of the length of its parallel side is 30 cm.
To Find : height of trapezium
Solution:
Trapezium is a quadrilateral with one exactly pair of opposite sides parallel
height of trapezium = Distance between parallel sides
Area of Trapezium = (1/2)(Sum of Parallel side) * height
Sum of Parallel sides = 30 cm
Area = 420 cm²
Height = h cm
=> 420 = (1/2) (30) h
=> 420 = 15h
=> h = 420/15
=> h = 28
height of trapezium is 28 cm
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