To find the maximum and minimum area of the envelope, we need to consider the possible variations in its dimensions due to rounding to the nearest centimeter.
Given:
Length = 21 cm (correct to the nearest centimeter)
Breadth = 11 cm (correct to the nearest centimeter)
Maximum area:
If the dimensions are correct to the nearest centimeter, the actual dimensions could be up to 0.5 cm more than the given values (21.5 cm for length and 11.5 cm for breadth) to round up.
Area (maximum) = Length * Breadth
Area (maximum) = 21.5 cm * 11.5 cm
Area (maximum) ≈ 247.25 square centimeters
Minimum area:
Similarly, if the dimensions are correct to the nearest centimeter, the actual dimensions could be up to 0.5 cm less than the given values (20.5 cm for length and 10.5 cm for breadth) to round down.
Area (minimum) = Length * Breadth
Area (minimum) = 20.5 cm * 10.5 cm
Area (minimum) ≈ 215.25 square centimeters
So, the maximum area of the envelope (correct to the nearest centimeter) is approximately 247.25 square centimeters, and the minimum area is approximately 215.25 square centimeters.