Use the image to answer the question.
An illustration shows a 5 by 9 grid labeled Triangle C. Triangle C is graphed on the grid.
Use decomposition and rearranging to model the area formula of triangle C . What is the area of triangle C in square units?(1 point)
Responses
10.5 square units
10.5 square units
10.5 cubic units
10.5 cubic units
10.5 units
10.5 units
21 square units
To find the area of Triangle C, we need to decompose it into two smaller triangles and rearrange them to form a rectangle.
The height of Triangle C is 7 units and the base is 9 units. By decomposing it into two triangles, we can see that the two smaller triangles each have a base of 4.5 units and a height of 7 units.
Rearranging these two triangles, we can form a rectangle with dimensions 9 units by 7 units.
Therefore, the area of Triangle C is 9 units * 7 units = 63 square units.
So the correct answer is:
21 square units