Question

If A (-5,7)B (-4,-5) c(-1,-6)andD(4,5)are the vertices of a quadrilateral Then,find the area of the quadrilateral ABCD.

Answer 1

Hello Friend....

___________________________
___________________________

The answer of u r question is....

Ans:

By joining B to D ,you will get two triangles ABD,BCD.

The area of triangle ABD

=1/2[-5(-5-5)+(-4)(5-7)+4(7+5)

=1/2(50+8+48)=106/2=53 square units....

Also,

The area of triangle BCD =1/2[-4(-6-5)-1(5+5)+4(-5+6)

=1/2[44-10+4]=19 square units...

Area of Triangle ABD + area of triangle BCD

so,

the are of quadrilateral ABCD=53+19=72 square units..

____________________________
____________________________

Thank you...⭐️⭐️⭐️

Answer 2

Answer:

72

Step-by-step explanation:

i hope you understand