WAEC Mathematics 2018 Theory — Question 11
Question 11 of 23 from the West African Examinations Council (WAEC) Mathematics 2018 Theory paper, with the correct answer and a full explanation.
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6.(b) The diagram above shows a rectangular lawn measuring 14m by 11m. A path of uniform width x metres surrounds it. If the total area of the path is 186m², how wide is the path?
Model answer
(14+2x)(11+2x) − (14×11) = 186 → 4x²+50x−186=0 → 2x²+25x−93=0. Solving: x = (−25+√1369)/4 = (−25+37)/4 = 3. The path is 3m wide.
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