The diagonals of a quadrilateral $PQRS$ are perpendicular and measure $16$ cm and $9$ cm. Find the area of…

The diagonals of a quadrilateral $PQRS$ are perpendicular and measure $16$ cm and $9$ cm. Find the area of the quadrilateral.
  1. $72 \text{ cm}^{2}$
  2. $144 \text{ cm}^{2}$
  3. $50 \text{ cm}^{2}$
  4. $36 \text{ cm}^{2}$

Solution

When diagonals of a quadrilateral are perpendicular, area $= \dfrac{1}{2} d_{1} d_{2} = \dfrac{1}{2}\times 16 \times 9 = 72 \text{ cm}^{2}$.

Asked in: IMO

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