v1 Measurement, STD2 M1 2021 HSC 12 MC A block of land is represented by the shaded region on the number plane. All measurements are in kilometres. What is the approximate area of the land, in square kilometres, using two applications of the trapezoidal rule? 11.25 14.85 16.75 22.55 Show Answers Only `C` Show Worked Solution Using two applications of the trapezoidal rule: `\text{Area}` `≈ \frac{5}{2} (1.2 + 2 × 2 + 1.5)` `= 2.5 (1.2 + 4 + 1.5)` `= 2.5 × 6.7` `= 16.75 \ \text{km}^2` `⇒ C`
