The side of the square is increased by 20% then what is the % change i

1.	The side of the square is increased by 20% then what is the % change in its area?1. 54%2. 34%3. 52%4. 44%
Answer» Correct Answer - Option 4 : 44% Given: Increase in side = 20% Formula used: Area of the square = side² Concept used: All the sides of the square is equal Calculation: Let the side of the square be l Area of the square = l² After 20% increase, Side of the square = l + 20% of l = 1.2 l New area of the square = (1.2 l)² = 1.44 l² Increase in the area of the square = 1.44 l²– l² = 0.44 l² Percentage increase in the area = (0.44 l2)/l² × 100 = 44% ∴ The % increase in the area is 44%

The side of the square is increased by 20% then what is the % change in its area?1. 54%2. 34%3. 52%4. 44%

Answer» Correct Answer - Option 4 : 44%

Given:

Increase in side = 20%

Formula used:

Area of the square = side²

Concept used:

All the sides of the square is equal

Calculation:

Let the side of the square be l

Area of the square = l²

After 20% increase,

Side of the square = l + 20% of l = 1.2 l

New area of the square = (1.2 l)² = 1.44 l²

Increase in the area of the square = 1.44 l²– l² = 0.44 l²

Percentage increase in the area = (0.44 l2)/l² × 100 = 44%

∴ The % increase in the area is 44%

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The side of the square is increased by 20% then what is the % change in its area?1. 54%2. 34%3. 52%4. 44%

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