Mathematics · Mensuration
An earthen embankment of trapezoidal cross-section, having top width B and height d above ground level with a side slope of z : 1 (horizontal : vertical), is to be formed on one bank of a river for flood protection over a length L. If turfing is to be provided over the sloping sides and the top of the embankment, the total surface area of turfing will be:
- 12L(B + d√(z 2 + 1))
- 2L(B + 2d√(z + 1))
- 3L(B + 2zd)
- 4L(B + 2d√(z 2 + 1))✓
Correct answer
L(B + 2d√(z 2 + 1))
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