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P(-5,-3), Q(-4,-6), R(2,-3) and S (1,2) ...

P(-5,-3), Q(-4,-6), R(2,-3) and S (1,2) are the vertices of a quadrilateral PQRS, find its area

Text Solution

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Area of `/_PQR`
`=1/2(x1(y2-y3)+x2(y3+y1)+x3(y1-y2)`
`=1/2(-5(-6+3)+(-4)(-3+3)+2((-3)+6)`
`=1/2(+15+0+6)`
`=21/2unit^2`
Area of `/_PQR`
`=1/2(-5(-3-2)+(2)(2+3)+1((-3)+3)`
`=1/2(25+10+0)`
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