Answer
$\frac{1}{3}b^{2} + \frac{1}{2}b$
Work Step by Step
Area of a triangle = 1/2 * base * height
Hence Area = $\frac{1}{2}(b)(\frac{2}{3}b+1) = \frac{1}{3}b^{2} + \frac{1}{2}b$
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