Answer: 24
Step-by-step explanation: As the formula to solve this equation is A= 1/2 | [(x1y2) - (x2y1)] + [(x2y3) - (x3y2)] + [(x3y4) - (x4y3)] + [(x4y1) - (x1y4)]
Which would be (with the numbers)
[(-3 x 4) - 1 x 4)] + [(1 x -2) - (0 x 4)] + [(10 x 2) - (-4 x -2)] + [(-4 x 4) - (-3 x -2)]
which lowers down too
(-12 - 4) + (-2 - 0) + (0 - -8) + (-16 - 6)
Then that gets us (absolute values) of
|-16| + |-2| + |8| + |-22|
using absolute values that gets us to
16 + 2 + 8 + 22
Which is equal to 48.
Don't forget to divide by 2 because we need half of it as it says in the beginning of the formula (A = 1/2)
So that gives us the answer of 24.
Hope this helped :)
Also, this could help by labeling each coordinate as a (X, Y) Number
[-3(x1) , 4(y1)} (you could write the x and y part above it)
And then you go down the list and label each as either x1 , x2 , x3 , x4 (for the left side of comma) and then y1 , y2, y3 , y4 (for the right side of the comma)
