While calculating the edge of a square,a worker makes an error of 2% in excess.What % error does he make in calculating area? (%)Options4.04%7%10%5%

The error in the calculation of the area of a square due to an error in the measurement of its edge can be calculated using the formula for the area of a square (Area = edge^2) and the concept of relative error.

Step 1: Let's assume the correct length of the edge of the square is 100 units (this value is chosen for simplicity and does not affect the final percentage error).

Step 2: If the worker makes an error of 2% in excess, the measured edge length becomes 102 units.

Step 3: The correct area of the square should be 100^2 = 10,000 square units.

Step 4: The calculated area with the erroneous edge length is 102^2 = 10,404 square units.

Step 5: The error in the area calculation is the calculated area minus the correct area, which is 10,404 - 10,000 = 404 square units.

Step 6: The percentage error in the area calculation is the error in the area divided by the correct area, times 100%. So, the percentage error is (404/10,000)*100% = 4.04%.

So, the worker makes a 4.04% error in calculating the area.