WBCS.LIVE practice question

If the length of a certain rectangle is decreased by 4cm and the width is increased by 3cm, a square with the same area as the original rectangle would result. The perimeter of the original rectangle was

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 48cm
  2. 60cm
  3. 50cm
  4. 75cm

Correct answer and explanation

Correct answer: 50cm

Explanation: āœ… Correct Answer: C) 50cm šŸ“š Explanation: Let length be L and width be W. A square with the same area implies (L - 4)(W + 3) = LW and (L - 4) = (W + 3). From the second equation, L = W + 7. Substituting L into the first equation: (W + 3)(W + 3) = (W + 7)W, which gives W = 9. Thus L = 16. The perimeter is 2 multiplied by (16 + 9), which equals 50 cm.