WAEC Further Mathematics 2020 Question 25

Question 25

Coordinate Geometry

Calculate, correct to two decimal places, the area enclosed by the line 3x − 5y + 4 = 0 and the axes.

  1. A.0.50 square units
  2. B.0.51 square units
  3. C.0.53 square units
  4. D.0.54 square units
Show the answer and explanation

Answer: C (0.53 square units)

Explanation

The line meets the axes at x = −4/3 and y = 4/5. Area = ½ × 4/3 × 4/5 = 8/15 ≈ 0.53 square units.