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

1 answer

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
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