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?
Responses
10.5 units
10.5 units - incorrect
10.5 cubic units
10.5 cubic units - no response given
10.5 square units
10.5 square units - not selected, this is the correct answer
21 square units
To find the area of a triangle, you can decompose it into smaller shapes and rearrange them to form a rectangle with the same area. In this case, Triangle C can be decomposed and rearranged into a rectangle with dimensions 5 by 9.
The area of a rectangle is calculated by multiplying its length by its width. Therefore, the area of the triangle (which is the same as the area of the rectangle) is 5 x 9 = 45 square units.
Therefore, the correct answer is 45 square units.