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Question

The cross-section of a canal is a trapezium in shape.If the canal is 10 m wide at the top 6 m wide at the bottom,and the area of the cross-section is 72 m2,determine its depth.

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Solution

Area of cross-section=72 m2

Parallel sides of the trapezium= 10 m and 6 m

Let h be the depth of the canal

Area =12(Sum of parallel sides)×depth 72=12(10+6)h 72=12×16h8h=72 h=728=9 m Depth of the canal=9 m


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