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The cross-section of a canal is a trapezium in shape. If the canal is 8 m wide at the top and 6 m wide at the bottom and the area of cross-section is 644 sq m, then the depth of the canal is

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90 m

92 m

94 m

002096 m

answer is B.

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Detailed Solution

Given that, a canal is in the shape of trapezium.
The canal is 8 m wide at the top and 6 m wide at the bottom and the area of cross-section is 644 sq m.
We have to find the depth of the canal.
We know, area of trapezium

= \frac{1}{2} \times

(Sum of parallel sides)

\times

(altitude)
Since, area of trapezium =

\frac{1}{2} (8 + 6) \times h

644

\frac{1}{2} (8 + 6) \times h

644

\frac{1}{2} (14) \times h

7 h = 644

h = \frac{644}{7}

∴ h = 92 m

Thus, depth of canal =

92 m

.
Hence, option 2 is correct.

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