Question #30654

1 Answer
Jan 9, 2018

#A=5.5#

Explanation:

Since this is a rectangular gird, we use the formula #A=b/2+I-1#
where #b# is the number of boundery points and #I# is the number of the interior points.

We now count to get that the perimeter of the triangle only touches 3 points.

We now count again to see that there are 5 points inside the triangle.

Therefore, #A=3/2+5-1#
#A=1.5+5-1#
#A=5.5#

This method is extremely useful when you are dealing with shapes that are combinations of many other shapes.