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
40 square units
40 square units
80 square units
80 square units
20 units
20 units
20 square units
20 square units
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To find the area of Triangle C, we can decompose it into two smaller right triangles. Each right triangle has a base of 4 units and a height of 10 units.
Area of one right triangle = 1/2 * base * height
Area of one right triangle = 1/2 * 4 * 10
Area of one right triangle = 20 square units
Since there are two right triangles in Triangle C, the total area of Triangle C is:
Total area = 20 square units + 20 square units
Total area = 40 square units
Therefore, the area of Triangle C is 40 square units.