WAEC Mathematics 2018 Theory — Question 14

Question 14 of 23 from the West African Examinations Council (WAEC) Mathematics 2018 Theory paper, with the correct answer and a full explanation.

9.(a) A donkey is tied with a rope to a post which is 15m from a fence. If the length of the rope between the donkey and the post is 17m, calculate the length of the fence within the reach of the donkey.

Model answer

By Pythagoras' theorem: 17² = x²+15² → x²=289−225=64 → x=8m. Length of fence accessible = 2x = 16m.

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