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If the length of a rectangle is $$\left(\frac{2}{3}a^2 + \frac{2}{9}\right)$$ m and its breadth is $$\left(a^2 + \frac{1}{6}\right)$$ m, then the area of the rectangle (in $$\text{m}^2$$) is
Multiplying, $$\left(\frac{2}{3}a^2 + \frac{2}{9}\right)\left(a^2 + \frac{1}{6}\right) = \frac{2}{3}a^4 + \frac{1}{9}a^2 + \frac{2}{9}a^2 + \frac{1}{27}$$. Since $$\frac{1}{9} + \frac{2}{9} = \frac{1}{3}$$, the area is $$\frac{2}{3}a^4 + \frac{1}{3}a^2 + \frac{1}{27}$$.
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