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Solution :
Let the sides of Trapezium is 5x and 3x
We have Given ,
Height = 16 cm
Area of trapezium is 960 cm^2
Find the value of x
Area of trapezium = 1/2 ( a + b) * h
⇒ 960 = 1/2 ( 5x + 3x ) * 16
⇒ 960 = 1/2 ( 8x) * 16
⇒ 960 = 8x * 8
⇒ 64x = 960
⇒ x = 960/64
⇒ x = 15
Substitute the value of x
5x
⇒ 5 * 15
⇒ 75
3x
⇒ 3 * 15
⇒ 45
Therefore , 75 and 45 are our required length of parallel sides
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