In the area of a square has increased by 60%, by what percentage has its side…

2024

In the area of a square has increased by 60%, by what percentage has its side increased ?

  1. A.

    21.1%

  2. B.

    20.3%

  3. C.

    23.3%

  4. D.

    11.1%

Attempted by 6 students.

Show answer & explanation

Correct answer: C

Correct answer: the side increases by (√1.6 − 1) × 100 ≈ 26.49%.

  1. Let the original side be s. Original area = s².

  2. If the area increases by 60%, new area = 1.6 × s².

  3. New side = √(1.6 × s²) = s × √1.6 ≈ 1.264911 × s.

  4. Percent increase = (√1.6 − 1) × 100 ≈ (1.264911 − 1) × 100 ≈ 26.49%.

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