Single correct option
What is the area of the triangle enclosed by the lines y = 2x, x + y = 9 and the x-axis?
- A. 18 sq units
- B. 24 sq units
- C. 27 sq units
- D. 36 sq units
Show answer and solution
Answer: (C) 27 sq units
Vertices: y = 2x meets the x-axis at (0, 0); x + y = 9 meets the x-axis at (9, 0); y = 2x and x + y = 9 meet where 3x = 9, i.e. at (3, 6).
Base along the x-axis = 9; height = y-coordinate of the apex = 6.
Area = 1/2 × 9 × 6 = 27 sq units.
Tip: When two sides meet the x-axis, take the x-intercept gap as base and the apex's y-coordinate as height.
Base along the x-axis = 9; height = y-coordinate of the apex = 6.
Area = 1/2 × 9 × 6 = 27 sq units.
Tip: When two sides meet the x-axis, take the x-intercept gap as base and the apex's y-coordinate as height.
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