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Problem 1 - Entrance Test

Algeria plans to irrigate a triangular field with vertices at A(0,0), B(6,0), and C(3,6) using desalinated seawater. If the cost is 120 Algerian Dinar per square meter, what is the total cost to the nearest thousand Dinar?

Correct: A

Area = ½|6·6 – 0·3| = 18 m². Cost = 18 × 120 = 2,160 DZD ≈ 2,000 DZD to nearest thousand.