The area of a trapezium-shaped field is 600 m², the distance between two parallel sides is 15 m and one of the parallel sides is 20 m. What is the length of the other parallel side?

40m

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50m

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60m

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70m

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Solution

The correct option is C
60m

Let the parallel sides of the trapezium be a and b.
One of the sides is 20 m and the distance between two parallel sides is 15 m.

The area of trapezium
$= \frac{1}{2} \times S u m o f t h e l e n g t h s o f t w o p a r a l l e l l i n e s \times d i s t a n c e b e t w e e n t w o p a r a l l e l l i n e s$

$600 = \frac{1}{2} \times (a + b) \times 15$

a + b = 80

b = 80 – 20 = 60 m

Length of the other parallel side = 60 m

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