Parallelogram Divided into Triangles: Find A + B
Published on September 7, 2024
Question
Answer
Let’s think step-by-step.
The given figure is a parallelogram divided into four triangles.
We know the area of two of these triangles: 2 m² and 5 m².
Important Fact: The diagonals of a parallelogram divide it into four triangles of equal area.
Therefore, the two remaining triangles also have areas of 2 m² and 5 m².
Finally, we can calculate A + B:
A = 2 m²
B = 5 m²
A + B = 2 m² + 5 m² = 7 m²
B = 5 m²
A + B = 2 m² + 5 m² = 7 m²
Answer: b. 7 m²