Question

What is the area of the composite figure whose vertices have the following coordinates?

(−4, 3) , (2, 3) , (4, −1) , (0, −3) , (−2, −1)


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units²

Answer 1

Area of the composite figure: A=?

A=A1+A2

Area of the parallelogram: A1
Area of the triangle: A2

A1=b*h1
b=2-(-4)=2+4→b=6 or
b=4-(-2)=4+2→b=6
h1=3-(-1)=3+1→h1=4

A1=b*h1=6*4→A1=24

A2=b*h2/2
h2=-1-(-3)=-1+3→h2=2
A2=6*2/2→A2=6

A=A1+A2
A=24+6
A=30

Answer: The area of the composite figure is 30 units²