If each side of a square is increased by

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

If each side of a square is increased by 20%. Find the percentage increase in its area.

Options:

20%

25%

36%

44%

Correct Answer:

44%

Explanation:

20% = $\frac{1}{5}$

Ratio of sides⇒ Actual : New = 5 : 6

Area of square = a²

Ratio of area⇒ Actual : New = 5² : 6² = 25 : 36

Area increased by = 36 - 25 = 11

Increased percentage = $\frac{11}{25}$ × 100% = 44%