A surveyor in his field book has drawn the plot as shown in the given figure. The area of the plot is

\frac{1}{2} (a z + b y + c t + d x)

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\frac{1}{2} (b t + c x + a y + a z)

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\frac{1}{2} (c x + b t + b y + a z)

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\frac{1}{2} (d + t) (c + x) + \frac{1}{2} (a + b) (y + z)

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Solution

The correct option is B $\frac{1}{2} (b t + c x + a y + a z)$
Area of the plot = sum of the areas of the four triangles into which it is divided
$= \frac{1}{2} a z + \frac{1}{2} a y + \frac{1}{2} b t + \frac{1}{2} c x$
$= \frac{1}{2} (b t + c x + a y + a z)$

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