Discussion
The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Answer: D
A trapezium's area is the average of the parallel sides times the depth between them.
\[ A = \frac{1}{2}(a + b)h \]
\[ 640 = \frac{1}{2}(10 + 6)h = 8h \]
\[ h = 80 \text{ m} \]
The two widths must be averaged, not added outright: using 16 as the effective width would halve the depth to 40 m.
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