When the side of a square increases by 0.5%, the new side length can be calculated as:
New side length = Original side length + (0.005 * original side length)
Let's assume the original side length is 1 unit. Then:
New side length = 1 + (0.005 * 1) = 1.005 units
Therefore, the new area of the square can be calculated using the formula:
New area = (New side length)^2 = (1.005)^2 = 1.010025 square units
The increase in area can be calculated as:
Increase in area = New area - Original area = 1.010025 - 1 = 0.010025 square units
Therefore, the approximate increase in area when the side of a square increases by 0.5% is 0.010025 square units.
If the side of a square increases by 0.5%, find the approximate increase in area
1 answer
1 answer