The centre of gravity of a trapezoidal dam section whose top...

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The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is b and the vertical side is a, from its vertical face is

A. $$\frac{{{{\text{a}}^2} + {\text{ab}} + {{\text{b}}^2}}}{{3\left( {{\text{a}} + {\text{b}}} \right)}}$$

B. $$\frac{{{{\text{b}}^2} + {\text{bc}} + {{\text{c}}^2}}}{{3\left( {{\text{b}} + {\text{c}}} \right)}}$$

C. $$\frac{{{{\text{a}}^2} + {\text{ac}} + {{\text{c}}^2}}}{{3\left( {{\text{a}} + {\text{c}}} \right)}}$$

D. None of these

Answer: Option A

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