Find the area of Quadrilateral PQRS where verticles are P ( -5 , -3 ) , Q ( -4 , -6 ) , R ( 2 , -3 ) and S ( 1 , 2 ) .
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Area of triange=1/2
=1/2|-5(-8)-4(5)+1(3)|
=1/2|40-20+3|
=1/2|23|
=11.5
In qrs
=1/2|-4(-5)+2(8)+1(-3)|
=1/2|20+18-3|
=1/2|35|
=17.5
Area of quadrilateral= area of pqs + area of qrs
= 11.5+17.5
=29
=1/2|-5(-8)-4(5)+1(3)|
=1/2|40-20+3|
=1/2|23|
=11.5
In qrs
=1/2|-4(-5)+2(8)+1(-3)|
=1/2|20+18-3|
=1/2|35|
=17.5
Area of quadrilateral= area of pqs + area of qrs
= 11.5+17.5
=29
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