The parallel sides of a trapezium are $10$ cm and $14$ cm and the distance between them is $6$ cm. Find its…

The parallel sides of a trapezium are $10$ cm and $14$ cm and the distance between them is $6$ cm. Find its area.
  1. $72 \text{ cm}^{2}$
  2. $144 \text{ cm}^{2}$
  3. $60 \text{ cm}^{2}$
  4. $84 \text{ cm}^{2}$

Solution

Area $= \dfrac{1}{2}(a+b)\cdot h = \dfrac{1}{2}(10+14)\cdot 6 = \dfrac{1}{2}\cdot 24 \cdot 6 = 72 \text{ cm}^{2}$.

Asked in: IMO

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