Discussion
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Answer: D
The inradius relates the area to the semi-perimeter:
\[ A = r \times s, \qquad s = \frac{28}{2} = 14 \]
\[ A = 2.5 \times 14 = 35 \text{ cm}^{2} \]
35 cm² is not among the choices, so the answer is none of these. The 70 cm² on offer comes from using the full perimeter instead of the semi-perimeter.
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