The lengths of parallel sides of a trapezium are in the ratio 5:7 and the distance between
them is 10cm. If the area of trapezium is 120 2
, find the lengths of the parallel side
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Let the parallel sides of a trapezium be 5x and 7x respectively.
Area of trapezium = 540 cm²
According to the question ;
Area of trapezium = * (sum of || sides ) * h
⇒ Area of trapezium = * (5x + 7x) * 18
⇒ 540 = 9 ( 5x + 7x )
⇒ 12x = 540 / 9
⇒ 12x = 60
⇒ x = 60 / 12
⇒ x = 5
Therefore, parallel sides are ;
5x = 5 * 5 = 25 cm
7x = 7 * 5 = 35 cm
Step-by-step explanation:
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