If each side of a square is increased by 25%, then find the percentage

1.	If each side of a square is increased by 25%, then find the percentage change in its area.1. 33.33%2. 50%3. 40%4. 56.25%
Answer» Correct Answer - Option 4 : 56.25% GIVEN: each side of a square is increased by 25% FORMULA USED: Area of square = (Side)² sq. unit CALCULATION: Let the side of the square be a unit ⇒ Area = a² sq. unit side of a square is increased by 25% ⇒ New side = 125a/100 ⇒ 5a/4 ⇒ New area = (5a/4)² ⇒ 25a²/16 ⇒ Increased in area = (25a²/16 - a²) ⇒ 9a²/16 ⇒ % increase in area = (9a²/16 × 1/a² × 100) ⇒ 56.25% ∴ % increase in area = 56.25%

If each side of a square is increased by 25%, then find the percentage change in its area.1. 33.33%2. 50%3. 40%4. 56.25%

Answer» Correct Answer - Option 4 : 56.25%

GIVEN:

each side of a square is increased by 25%

FORMULA USED:

Area of square = (Side)² sq. unit

CALCULATION:

Let the side of the square be a unit

⇒ Area = a² sq. unit

side of a square is increased by 25%

⇒ New side = 125a/100

⇒ 5a/4

⇒ New area = (5a/4)²

⇒ 25a²/16

⇒ Increased in area = (25a²/16 - a²)

⇒ 9a²/16

⇒ % increase in area = (9a²/16 × 1/a² × 100)

⇒ 56.25%

∴ % increase in area = 56.25%

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If each side of a square is increased by 25%, then find the percentage change in its area.1. 33.33%2. 50%3. 40%4. 56.25%

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