Answer:
33 square units
Step-by-step explanation:
Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.
<h3>Area of the rectangle</h3>The area of a rectangle is simply , where b represents the base and h represents the height.
Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.
Substituting in the values, we get:
The area of the rectangle is 24 square units
<h3>Area of the triangles</h3>The area of a triangle is simply .
The base of each triangle is 3, and the height of each triangle is also 3.
Substituting in the values, we get:
The area of each triangle is 4.5 square units
<h3>Area of the polygon</h3>To get the area of the polygon, we simply add up the area of the rectangle and both triangles
The total area of the polygon is 33 square units.