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If the side of a square is increased by 20%, then what will be the percentage increase in its perimeter?
- a)20
- b)40
- c)100
- d)50
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the side of a square is increased by 20%, then what will be the per...
Let side of square is a
Perimeter of square = 4a
New side = 120% of a = 1.2a
New perimeter = 4 × 1.2a = 4.8a
∴ % increase in perimeter = (4.8a – 4a)/4a × 100 = 0.8a/4a × 100 = 20%
Perimeter of square = 4a
New side = 120% of a = 1.2a
New perimeter = 4 × 1.2a = 4.8a
∴ % increase in perimeter = (4.8a – 4a)/4a × 100 = 0.8a/4a × 100 = 20%
Most Upvoted Answer
If the side of a square is increased by 20%, then what will be the per...
Explanation:
Increasing the side of a square by 20% means the new side length will be 120% of the original side length.
Calculation:
Let the original side length of the square be x.
After increasing the side by 20%, the new side length = x + 0.2x = 1.2x
Perimeter of the original square:
Perimeter = 4 * x = 4x
Perimeter of the new square:
New Perimeter = 4 * 1.2x = 4.8x
Percentage Increase in Perimeter:
Percentage Increase = [(New Perimeter - Original Perimeter) / Original Perimeter] * 100%
= [(4.8x - 4x) / 4x] * 100%
= (0.8x / 4x) * 100%
= 0.2 * 100%
= 20%
Therefore, the percentage increase in the perimeter of the square when the side is increased by 20% is 20%. Hence, option A is the correct answer.
Increasing the side of a square by 20% means the new side length will be 120% of the original side length.
Calculation:
Let the original side length of the square be x.
After increasing the side by 20%, the new side length = x + 0.2x = 1.2x
Perimeter of the original square:
Perimeter = 4 * x = 4x
Perimeter of the new square:
New Perimeter = 4 * 1.2x = 4.8x
Percentage Increase in Perimeter:
Percentage Increase = [(New Perimeter - Original Perimeter) / Original Perimeter] * 100%
= [(4.8x - 4x) / 4x] * 100%
= (0.8x / 4x) * 100%
= 0.2 * 100%
= 20%
Therefore, the percentage increase in the perimeter of the square when the side is increased by 20% is 20%. Hence, option A is the correct answer.
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If the side of a square is increased by 20%, then what will be the percentage increase in its perimeter?a)20b)40c)100d)50Correct answer is option 'A'. Can you explain this answer?
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