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
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
1 answer