Final answer:
To find the area of each triangle (Q) when a parallelogram with an area of 30 cm² is formed by adding 2 triangles to a rectangle, divide the total area by 2. So, each triangle has an area of 15 cm².
Step-by-step explanation:
If you started with a rectangle and added 2 triangles to create a parallelogram with an area of 30 cm², the area of each triangle (Q) can be found by dividing the area of the parallelogram by 2, assuming the triangles are congruent and were added to opposite sides of the rectangle to form the parallelogram. To explain this further, let's recall that the area of a parallelogram is calculated using the base times the height (the same as the area of a rectangle), and the area of a triangle is ½ × base × height. Since the parallelogram was formed by adding two triangles to a rectangle, the combined area of the two triangles must equal the area of the parallelogram.
The provided area of the parallelogram is 30cm². Thus:
- Total Area of Triangles = Area of Parallelogram = 30cm²
- Area of One Triangle (Q) = ½ × Total Area of Triangles
- Q = ½ × 30cm²
- Q = 15cm²
As a result, the area of each triangle is 15cm².