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Question

A pond is in the shape of a trapezium. A bridge is to be constructed such that the bridge is perpendicular to the parallel sides. It is given that the area of a pond is 1080 m2 and the lengths of its parallel sides are 55.6 m and 34.4 m. Find the length of the bridge.


A

24 m

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B

48 m

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C

56 m

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D

Data insufficient

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Solution

The correct option is A

24 m



Area of trapezium = h(a+b)2 sq. units

Let the length of bridge be x

12 × (55.6 + 34.4) × x = 1080m2

12 × 90 × x = 1080m2

108045 = x

x= 24 m


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