Explanation:

- Triangle \( \triangle PQR \) has midpoints A, B, and C on sides PQ, QR, and PR.

- The area of \( \triangle PQR \) is given as 32 cm².

- According to the Midpoint Theorem, \(\triangle ABC\) will be similar to \(\triangle PQR\) and half in both dimensions.

- The area of \(\triangle ABC\) is thus \(\frac{1}{4}\) of the area of \(\triangle PQR\) because area scales with the square of the linear dimensions.

- Therefore, the area of \(\triangle ABC\) is \(\frac{1}{4} \times 32\) cm² = 8 cm².

- Option 4: 8 cm² is the correct answer.