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NABTEB Mathematics 2024 Objective — Question 41

Question 41 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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Two opposite sides of a rectangle are (5x+3)m and (2x+9)m. If an adjacent side is (6x−7)m, find the area of the rectangle, in m².

  • A. A. 45
  • B. B. 65Correct
  • C. C. 125
  • D. D. 165

Explanation

Opposite sides are equal: 5x+3=2x+9 → 3x=6 → x=2. Side1=5(2)+3=13m. Adjacent side=6(2)−7=5m. Area=13×5=65m².

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