What is the area of the composite figure whose verticies has the following coordinates?
Ok... This is the shape (green dots)
I will give you a strategy on how to solve this, quite complicated though.
1. Use the distance formula to find the distance between all the points to find each side length of the five-sided polygon.
2. Divide the shape into three triangles.
3. Use Heron's formula to solve for the area of each triangle (using the side lengths you got from step 1)
4. Add up each triangle's area to find the total area of the shape.
This is definitely not the best way to solve this, and might be very tedious. But it still works.
You can split the shape up into a parallelogram and a triangle:
Count the number of units in the lengths and heights of each shape.
And remember that
area of parallelogram = length of base * length of height
area of triangle = 1/2 * length of base * length of height
Then you can calculate the area of the parallelogram and the area of the triangle.
Add the two areas together to find the total area of the figure.
(I'm pretty sure there are other ways to solve this too. )