Numerical answer
What is the area (in square units) of the triangle formed by the lines y = 2x, x + y = 12 and the x-axis?
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Answer: 48
Vertices:
- y = 2x meets the x-axis at (0, 0).
- x + y = 12 meets the x-axis at (12, 0).
- y = 2x and x + y = 12: 3x = 12 → (4, 8).
Base along the x-axis = 12, height = 8.
Area = (1/2) × 12 × 8 = 48 square units.
- y = 2x meets the x-axis at (0, 0).
- x + y = 12 meets the x-axis at (12, 0).
- y = 2x and x + y = 12: 3x = 12 → (4, 8).
Base along the x-axis = 12, height = 8.
Area = (1/2) × 12 × 8 = 48 square units.
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