The area of the polygon is 25.5 square units
<h3>How to determine the area of the polygon?</h3>
From the figure, we have the following coordinates
A = (-2, 1)
B = (3, 2)
C = (5, -3)
D = (-1, -3)
The area of the polygon is then calculated as:
A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|
Substitute the known values in the above equation
Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3 - 5 * 2) + (5 * -3 + 1 * -3) + (-1 * 1 + 2 * -3)|
Evaluate the sum of products
Area = 0.5 * |-51|
Remove the absolute bracket
Area = 0.5 * 51
Evaluate the product
Area = 25.5
Hence, the area of the polygon is 25.5 square units
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Answer:
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Step-by-step explanation:
points
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Answer:
x=-3
Step-by-step explanation:
3(2+x)= -3
Divide each side by 3
3/3 (2+x)= -3/3
2+x = -1
Subtract 2 from each side
2+x-2 = -1-2
x = -3
