WAEC Mathematics 2018 Question 49

Question 49

Mensuration of Plane Shapes

The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5 cm and |MX| = 12 cm, caluclate its perimeter.

  1. A.42 cm
  2. B.48 cm
  3. C.52 cm
  4. D.60 cm
Show the answer and explanation

Answer: C (52 cm)

Explanation

The diagonals bisect at right angles, so a side is √(5² + 12²) = 13 cm and the perimeter is 52 cm.