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 units
10.5 units
10.5 cubic units
10.5 cubic units
10.5 square units
10.5 square units
21 square units
To model the area formula for Triangle C, we can decompose it into a rectangle and two right triangles. The rectangle has dimensions 5 units by 9 units, so its area is 5*9 = 45 square units. Each right triangle has a base of 5 units and a height of 4 units, so the area of each right triangle is (1/2)*5*4 = 10 square units.
Therefore, the total area of Triangle C is 45 + 10 + 10 = 65 square units.
So the correct answer is: 10.5 square units