#### 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 cross-section is 72 m^{2} determine its depth.

#### Solution

Let the depth of canal bed.

Given:

Lengths of the parallel sides of the trapezium shape canal are 10 m and 6 m.

And, the area of the cross section of the canal is 72 m^{2} .

Area of trapezium \[=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Perpendicular distance between the parallel sides })\]

\[72 = \frac{1}{2} \times (10+6)\times(d)\]

\[72 = 8\times d\]

\[d =\frac{72}{8}= 9 m\]

Is there an error in this question or solution?

Solution 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 Cross-section is 72 M2 Determine Its Depth. Concept: Area of Trapezium.