Discussion

If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:

Answer: C

The two parallel sides of a parallelogram are equal, so a sum of 10 cm makes each one 5 cm, and the 2 cm between them is the height.

\[ A = \text{base} \times \text{height} = 5 \times 2 = 10 \text{ cm}^{2} \]

The trapezium formula gives the same figure here, since

\[ A = \frac{1}{2}(a + b)h = \frac{1}{2} \times 10 \times 2 = 10 \text{ cm}^{2} \]

and for a parallelogram the two parallel sides are equal.

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