the area of a Trapezium is 900 sq. cm. the distance between the The parallel side of 24 cm . if one of the parallel side is 24cm. if one of the parallel side is double the other, find the length of the two sides.
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Given that area of a Trapezium is 900 sq.cm. Hence, opposite sides of trapezium are 25 cm and 50 cm.
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The formula for the area of a Trapezium is:
Area = 1/2 * (Distance between parallel sides) * (Sum of lengths of parallel sides)
We are already given the information that 'Distance between parallel sides' = 24cm
Also, the length of one parallel side is double the length of other parallel side.
So, let the length of shorter parallel side be =x
Hence, the length of other(longer) parallel side = 2x
Putting these values in the formula, we get
900 sq. cm = 1/2 * (24) * (x + 2x) sq.cm
=> 900 = 12 * 3x
=> 900=36x
=> x = 25
The lengths of parallel sides are x and 2x
Therefore, x = 25cm
2x = 50 cm
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