Question
Find the area of quadrilateral BCEG
✓
Answer
Area of the Quadrilateral BCEG $=$
$
\frac{1}{2}\left[\left(x_1 y_2+x_2 y_3+x_3 y_4+x_4 y_1\right)-\left(x_2 y_1+x_3 y_2+x_4 y_3+x_1 y_4\right)\right]
$
$\begin{aligned} & =\frac{1}{2}[(4+2+0.75+9)-(-4-1.5-4.5-2)] \\ & =\frac{1}{2}[15.75+12] \\ & =\frac{1}{2}[27.75] \\ & =13.875 \\ & =13.88 \text { sq. units }\end{aligned}$
$
\frac{1}{2}\left[\left(x_1 y_2+x_2 y_3+x_3 y_4+x_4 y_1\right)-\left(x_2 y_1+x_3 y_2+x_4 y_3+x_1 y_4\right)\right]
$
$\begin{aligned} & =\frac{1}{2}[(4+2+0.75+9)-(-4-1.5-4.5-2)] \\ & =\frac{1}{2}[15.75+12] \\ & =\frac{1}{2}[27.75] \\ & =13.875 \\ & =13.88 \text { sq. units }\end{aligned}$
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