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Post-UTME Mathematics 2013 Objective — Question 99

Question 99 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

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In fig. 10 below, the acute angle of the parallelogram is 45°, one side is 8cm and the area is 24√2cm². Find the other side.

  • A. 12m
  • B. 10m
  • C. 6cmCorrect
  • D. 4cm

Explanation

Area=ab·sinθ: 24√2=8×b×sin45°=8b(√2/2)=4b√2, so b=6cm.

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