The area of a trapezoid with bases a & b with height h is given by A=12h(a+b)\displaystyle {A}=\frac{{1}}{{2}}{h}{\left({a}+{b}\right)}.

If a contractor needs to lay a cement slab designed as a trapezoid with bases of 127\displaystyle {1}\frac{{2}}{{7}} yards and 214\displaystyle {2}\frac{{1}}{{4}} yards with a height of 113\displaystyle {1}\frac{{1}}{{3}} yards, what is the area of the slab?

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