Discussion
A square and a rhombus stand on the same base and between the same parallels. The ratio of their areas is:
Answer: C
Two parallelograms on the same base and between the same parallels have the same height, and area is base times height:
\[ A = \text{base} \times \text{height} \]
Both the base and the height are shared, so the two areas are equal and the ratio is \( 1 : 1 \).
The condition "between the same parallels" is doing the real work here: a rhombus with the same side but a different angle has area \( a^{2}\sin\theta \), which is less than the square's \( a^{2} \) unless \( \theta = 90^{\circ} \).
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