Find the area of this shape in the coordinate plane.

You can split this into smaller parts and calculate the area, or use the Shoelace Theorem. Since I can't demonstrate splitting the shape here, I can use the shoelace theorem.

Either way will give you 87/2 .

Thx, Firebolt....here's another way with something known as Pick's Theorem

Lattice points = points with integer coordinates

Area = [ lattice points in the interior of the figure ] + [ lattice points on the boundary / 2 ] - 1

So we have

50 + 16/2 - 1 =

50 + 8 - 1 =

57