A real estate agent measured a rectangular vacant lot as having a length of 50 yards and a width of 30 yards. Her measurements were accurate to the nearest yard. What is the range of possible values for A. yards of the vacant lot?
The area of the vacant lot is given by the formula A = length × width.
The maximum possible area would be if the length is rounded up to 51 yards and the width is rounded up to 31 yards. In this case, the area would be A = 51 × 31 = 1581 square yards.
The minimum possible area would be if the length is rounded down to 49 yards and the width is rounded down to 30 yards. In this case, the area would be A = 49 × 30 = 1470 square yards.
Therefore, the range of possible values for A is 1470 square yards to 1581 square yards.
To determine the range of possible values for the area of the vacant lot, we need to consider the maximum and minimum values that the length and width can take.
Given that the length is measured as 50 yards, it means that the actual length could be anywhere between 49.5 yards and 50.5 yards (assuming the measurements are rounded to the nearest yard).
Similarly, if the width is measured as 30 yards, the actual width could be anywhere between 29.5 yards and 30.5 yards.
To find the range of possible values for the area, we need to determine the maximum and minimum areas within this range.
Max area: Using the maximum length and maximum width, we get the maximum area as 50.5 yards * 30.5 yards = 1537.75 square yards.
Min area: Using the minimum length and minimum width, we get the minimum area as 49.5 yards * 29.5 yards = 1457.75 square yards.
Therefore, the range of possible values for the area of the vacant lot is between 1457.75 square yards and 1537.75 square yards.
To find the range of possible values for the area of the vacant lot, we need to consider the maximum and minimum possible values based on the given measurements.
The length of the lot is given as 50 yards, accurate to the nearest yard. This means that the actual length could be anywhere between 49.5 yards and 50.5 yards.
Similarly, the width of the lot is given as 30 yards with an accuracy to the nearest yard. This implies that the actual width could be anywhere between 29.5 yards and 30.5 yards.
To calculate the maximum and minimum possible values for the area, we use the extremes of the length and width measurements.
Maximum possible length: 50.5 yards
Maximum possible width: 30.5 yards
Maximum possible area: (50.5 yards) × (30.5 yards) = 1540.25 square yards
Minimum possible length: 49.5 yards
Minimum possible width: 29.5 yards
Minimum possible area: (49.5 yards) × (29.5 yards) = 1460.25 square yards
Therefore, the range of possible values for the area of the vacant lot is between 1460.25 square yards and 1540.25 square yards.