The ratio of the length of the parallel sides of a trapezium is 5:3 and the distance between
them is 16cm. If the area of the trapezium is 960 cm”, find the length of the parallel sides.
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Answer:
let the sides = 5x 3x
distance between them = 16cm
Area of trapezium = 960
area of trapezium = 1/2 × (sum of parallel lines) × height
960 = 1/2 × (5x + 3x) × 16
960 = 8x + 8
952 = 8x
119 = x
therefore 5x = 5 × 119 = 595
3x = 3 × 119 = 357
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