WAEC Mathematics 2024 Objective — Question 21

Question 21 of 50 from the West African Examinations Council (WAEC) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

21. In the diagram, MN∥KL, ML and KN intersect at X. |MN| = 12 cm, |MX| = 10 cm and |KL| = 9 cm. If the area of ΔMXN is 16 cm², calculate the area of ΔLXK.

A. 8 cm²
B. 9 cm²Correct
C. 10 cm²
D. 12 cm²

Explanation

ΔMXN and ΔLXK are similar; ratio of areas = (KL/MN)² = (9/12)². Area LXK = 16×81/144 = 9 cm².

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