Question

please answer this question ​

Answer 1

Answer:

28 sq. unit

Step-by-step explanation:

join P to R we get two triangles PQR and PRS.

LET P(x1,y1) P(-5,-3)

Q(x2,y2) Q(-4,-6)

R(x3,y3) R(2,-3)

AREA OF TRIANGLE 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]

=21/2 sq. units

AREA OF TRIANGLE PRS=1/2[-5(-3-2)+2(2+3)+1(-3+3)]

= 1/2[25+10+0]

=35/2 sq. units

So, the area of the quadrilateral is 35/2+21/2

=28 sq. units