A kitchen floor measures 10ft by 12 ft. Calculate the minimum area and maximum area using the greatest possible error
To calculate the minimum and maximum area using the greatest possible error, we need to determine the range of values for each dimension.
Given that the kitchen floor measures 10ft by 12ft, we can calculate the minimum and maximum area using the greatest possible error as follows:
1. Determine the range of values for each dimension:
- For the length of the floor (10ft), we need to subtract the greatest possible error from the original length. Let's assume the greatest possible error is ±0.5ft. So, the range for the length would be (10ft - 0.5ft, 10ft + 0.5ft), which is (9.5ft, 10.5ft).
- Similarly, for the width of the floor (12ft), the range would be (12ft - 0.5ft, 12ft + 0.5ft), which is (11.5ft, 12.5ft).
2. Calculate the minimum and maximum area:
- To find the minimum area, we multiply the minimum value for the length by the minimum value for the width: minimum area = (9.5ft) * (11.5ft).
- To find the maximum area, we multiply the maximum value for the length by the maximum value for the width: maximum area = (10.5ft) * (12.5ft).
Let's calculate the minimum and maximum area:
Minimum area = (9.5ft) * (11.5ft) = 109.25 square feet
Maximum area = (10.5ft) * (12.5ft) = 131.25 square feet
Therefore, the minimum area is 109.25 square feet, and the maximum area is 131.25 square feet.