Use the image to answer the question.
An illustration shows a 5 by 10 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
80 square units
80 square units
20 units
20 units
40 square units
40 square units
20 square units
40 square units
Using decomposition, we can see that Triangle C is made up of two smaller right triangles (A and B) and a rectangle. The area formula for the rectangle is length x width, which would be 5 x 6 = 30 square units. The area of triangle A is 10 x 3 ÷ 2 = 15 square units, and the area of triangle B is 5 x 2 ÷ 2 = 5 square units.
Adding the areas of the rectangle and the two smaller triangles together:
30 + 15 + 5 = 40 square units