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Area of a Quadrilateral

If A-5,7, B-4...

Question

If A(-5,7), B(-4,5) C(-1,6) and D(4,5) are the vertices of a quadrilateral, find the area.

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Solution

$A (- 5, 7), B (- 4, 5), C (- 1, 6)$ and $D (4, 5)$
Area of ABCD $= \frac{1}{2} ∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} - 5 & 7 - 4 & 5 - 1 & 6 4 & 5 - 5 & 7 \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣ = \frac{1}{2} | 8 | = 4$

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