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WAEC Mathematics 2015 Question 36

Question 36

Mensuration of Plane Shapes

The area of a rhombus is 110 cm2. If the diagonals are 20 cm and (2x + 1) cm long, find the value of x.

  1. A.5.0
  2. B.4.0
  3. C.3.0
  4. D.2.5
Show the answer and explanation

Answer: A (5.0)

Explanation

Area = ½ × d₁ × d₂: ½ × 20 × (2x + 1) = 110, so 2x + 1 = 11 and x = 5.