The diagram shows a figure drawn on a unit grid. What is the area of the shaded region?
+129849 We can use something called Pick's Theorem to answer this
Area =
Number of boundary points with integer coordinates / 2 + Number of Interior points with integer coordinates -1
Number of boubary points with integer coordinates = 6
Number of interior points with integer coordinates = 31
So....the area =
6/2 + 31 - 1 =
3 + 30 =
33 units^2
