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Question

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 960cm2, find the length of the parallel sides.

A
45cm and 65cm
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B
35cm and 75cm
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C
45cm and 75cm
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D
55cm and 75cm
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Solution

The correct option is C 45cm and 75cm
Let the sides be 5x and 3x
Given
h=16 cm
A=960 cm2
Now, Area is given as
960=12×16×(5x+3x)
960=8×8x
64x=960
x=15
5x=5×15=75
3x=3×15=45
Therefore, the parallel sides are 45 cm and 75 cm.

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