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The ratio between depth and width of a rectangular channel is ¼ and the area of the rectangular section is 16m^2. Calculate the top width of the channel.

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in Fluid Mechanics by (118k points)
The ratio between depth and width of a rectangular channel is ¼ and the area of the rectangular section is 16m^2. Calculate the top width of the channel.

(a) 5m

(b) 6m

(c) 7m

(d) 8m

This question was addressed to me in an online quiz.

Query is from Geometrical Properties of Rectangular Section topic in division Flow in Open Channels of Fluid Mechanics

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Best answer
The correct option is (d) 8m

The best I can explain: Ratio = ¼

D/B = ¼

4D = B

Area (A) = 16m^2

(B) (D) = 16 = 4D^2; D = 4m

B = 2(4) = 8m.

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