To find the approximate percentage increase in the area when the side of a square increases by 0.5%, we can use the formula for the area of a square, which is A = s^2, where A is the area and s is the side length.
Let's say the original side length of the square is s.
When the side length increases by 0.5%, the new side length becomes s + 0.5% of s.
This can be written as s + 0.005s, which simplifies to 1.005s.
The new area of the square is (1.005s)^2 = 1.010025s^2.
The increase in the area is the difference between the new area and the original area: 1.010025s^2 - s^2 = 0.010025s^2.
To find the percentage increase, we divide the increase in area by the original area and then multiply by 100:
(0.010025s^2 / s^2) * 100 = 1.0025 * 100 = 1.0025%.
Therefore, the approximate percentage increase in the area is 1.0025%.
If a side of a square increases by 0.5%, find the approximate percentage increase in the area
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