WAEC Mathematics 2013 Objective — Question 49

Question 49 of 50 from the West African Examinations Council (WAEC) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

A side and a diagonal of a rhombus are 10cm and 12cm respectively. Find its area.

A. 20cm²
B. 24cm²
C. 48cm²
D. 96cm²Correct

Explanation

Half the given diagonal = 6cm. Using Pythagoras with side 10cm: the half of the other diagonal = √(10²−6²) = √64 = 8cm, so the other diagonal = 16cm. Area = ½×d1×d2 = ½×12×16 = 96cm².

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