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in Perimeter and Area of Plane Figures by (49.2k points)
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What is the area of the plot shown in the figure ?

(a) \(\frac12\) (az + by + ct + dx) 

(b) \(\frac12\) (bt + cx + ay + az) 

(c) \(\frac12\) (cx + bt + by + az) 

(d) \(\frac12\) (d + t)(c + x) + \(\frac12\)(a + b)(y + z)

1 Answer

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Best answer

(b) \(\frac12\) (ax + ay + bt + cx)

Area of the plot 

= Area of Δ ABC + Area of Δ BCD + Area of Δ BED + Area of Δ EFD

\(\frac12\) x a x z + \(\frac12\) x a x y x \(\frac12\) x b x t + \(\frac12\) x c x \(x\)

= \(\frac12\) (ax + ay + bt + cx)

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