WAEC Mathematics 2012 Question 49

Question 49

Mensuration of Plane Shapes

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

  1. A.20 cm2
  2. B.24 cm2
  3. C.48 cm2
  4. D.96 cm2
Show the answer and explanation

Answer: D (96 cm2)

Explanation

The diagonals bisect at right angles: half of the other diagonal = √(102 − 62) = 8, so it is 16 cm. Area = ½ × 12 × 16 = 96 cm2.