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WAEC Mathematics 2008 Question 19

Question 19

Mensuration of Plane Shapes

In the diagram, PQRS is a rhombus. |PR| = 10 cm and |QS| = 24 cm. Calculate the perimeter of the rhombus.

Diagram for this question
  1. A.34 cm
  2. B.52 cm
  3. C.56 cm
  4. D.96 cm
Show the answer and explanation

Answer: B (52 cm)

Explanation

The diagonals bisect each other at right angles: side = √(52 + 122) = 13 cm. Perimeter = 4 × 13 = 52 cm.