book Maths Puzzle Numerical Ability

Find the area of the following figures using determinants

The points on the graph are (-2,1) (2,3) (-1,-4) (3,0)

What I have so far
D=1/2 det [a1 a2 a3
b1 b2 b3

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book Other Question

how do you do 3/2 x/-27 and 9=t-8/4 State the axiom which justifies each of the following:
a) (3)(4)=(4)(3)
b) (3+4)+5=3+(4+5)
c) If 3 =x, then x = 3
d) 2(3+x)= 6 + 2x