what is the area of a polygon with vertices of (-2,-4)(4,-4)(4,4) and (-5,4)
We can use the shoelace formula to find the area of the polygon. The formula involves multiplying the x-coordinate of each vertex with the y-coordinate of the next vertex, and subtracting the product of the y-coordinate of the first vertex and the x-coordinate of the last vertex. Then we divide the absolute value of the sum by 2.
Using this formula, we get:
|\frac{1}{2}((-2)(-4)+(4)(4)+(4)(-5)+(-4)(-2))|
= |\frac{1}{2}(8+16-20+8)|
= |\frac{1}{2}(12)|
= 6
Therefore, the area of the polygon is 6 square units.