Step-by-step explanation:
[tex]b \: = 24 \: cm \\ \\ \therefore \: h = \frac{4}{3} \times 24 = 4 \times 8 = 32 \: cm \\ \\ Area( \triangle) = \frac{1}{2} \times b \times h \\ \\ = \frac{1}{2} \times 24 \times 32 \\ \\ = 12 \times 32 \\ \\ = 384 \: {cm}^{2} [/tex]
Thus, option (B) is the correct answer.