Discussion
If the area of a rhombus is 96 cm2 and one of its diagonals is 16cm, find the other diagonal.
Answer: C
The other diagonal is 12 cm.
The area of a rhombus is half the product of its diagonals.
\[ \begin{aligned} \tfrac{1}{2} \times 16 \times d &= 96 \\ 8d &= 96 \\ d &= 12\ \text{cm} \end{aligned} \]
Forgetting the half gives 6 cm, which is not offered; 14, 18 and 20 cm would give areas of 112, 144 and 160 square centimetres.
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