To find the area of a triangle, you can decompose it into a rectangle and a right triangle, and then rearrange those shapes to find the area formula.
In this case, you can decompose Triangle C into a rectangle with dimensions 5 by 9 and a right triangle with dimensions 4.5 by 6. You can rearrange those shapes to form a rectangle with dimensions 9 by 9, which has an area of 81 square units.
Since the right triangle that was removed from Triangle C had an area of 9 square units, you subtract 9 from 81 to get the area of Triangle C, which is 72 square units.
Therefore, the correct answer is not provided, but the closest option is 21 square units.
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
21 square units
21 square units
10.5 units
1 answer
1 answer