If the side of a square is increased by 25%, then its area is increased by :
A. 25%
B. 55%
C. 40.5%
D. 58.25%
Solution(By Examveda Team)
Suppose length of sq is
“x”
Then its area is x2
Now increase is side by 25%
Therefore x + x of 25% = 5x/4
And it's area = 25x2/16
Increase in area x2 - 25x2/16 = 9x2/16
Percentage in area increase = 56.25%
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Related User Ask Questions
If each side of a square is increased by 25%, then the percentage change in its area is
- 35.25%
- 42.35%
- 56.25%
- 63.45%
Answer (Detailed Solution Below)
Option 3 : 56.25%
Given:
The side of the square is increased by 25%
Formula used:
Area of square = Side2
Calculation:
Let the side of the square be x units
Original Area = x2 unit2
Side of the square is increased by 25%
⇒ New side = x + 25% of x
⇒ New side = 1.25x
New Area = (1.25x)2
⇒ New Area = 1.5625x2 unit2
Change in area = New Area – Original Area
⇒ Change in area = 1.5625x2 – x2
⇒ Change in area = 0.5625x2
Percentage change in area = (Change in area/Oriinal area) × 100
⇒ Percentage change in area = (0.5625x2/x2) × 100
∴ Percentage change in area is 56.25%
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