WAEC 2025 · Paper 1 · Q22✱✱

The diagonals ACAC and BDBD of a rhombus ABCDABCD are 16 cm16\text{ cm} and 12 cm12\text{ cm}. Calculate its area.

Worked solution (try it first)
  1. The diagonals cut the rhombus into four right-angled triangles, each with legs 8 cm and 6 cm, so each has area 12×8×6=24 cm2\frac12 \times 8 \times 6 = 24\text{ cm}^2.
  2. The rhombus is four of them: 4×24=96 cm24 \times 24 = 96\text{ cm}^2.
  3. This is the same as 12×16×12\frac12 \times 16 \times 12, option A.

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