If the side of a square is increased by 5%, then the percentage increase in its area will be:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 10.25%.
Let the original side length of the square be s.
The original area of the square = s2
When the side is increased by 5%,
The new side length becomes = s + 0.05s = 1.05s
The new area of the square = (1.05s)2 = 1.1025 s2
Now, to find the percentage increase in area
Percentage increase = (New area - Original area)/Original area × 100
⇒ (1.1025s2 - s2)/s2 × 100
⇒ 0.1025 s2/s2 × 100
⇒ 10.25%
Thus, the percentage increase in the area is 10.25%.