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Part a· 3 steps
The maximum and minimum possible area of the floor
Determine the limits of the length and width.
The measured length () is and the measured width () is .
The possible error in each measurement is .Thus, the limits for the length are:
And the limits for the width are:
Calculate the maximum possible area.
The maximum area is found by multiplying the maximum possible length by the maximum possible width.
Calculate the minimum possible area.
The minimum area is found by multiplying the minimum possible length by the minimum possible width.
The maximum possible area is and the minimum possible area is .
Part b
The maximum possible wastage in a carpet ordered to cover the entire floor
Calculate the maximum possible wastage.
To ensure the carpet covers the entire floor, the carpet will be ordered based on the maximum possible area of the floor ().
Maximum wastage occurs when the actual floor area is at its minimum ().
Maximum wastage = Area of carpet ordered - Minimum possible floor areaThe maximum possible wastage is .
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