A rectangular plot of land has sides with lengths of 38 m and 52 m corrected to the nearest m. Find the range of the possible values of the area of the rectangle
A
1931.25 m\(^2\) ≤ A < 2021.25 m\(^2\)
B
1950 m\(^2\) ≤ A < 2002 m\(^2\)
C
1957 m\(^2\) ≤ A < 1995 m\(^2\)
D
1931.25 m\(^2\) ≥ A > 2021.25 m\(^2\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
The sides have been given to the nearest meter, so
51.5 m \le length < 52.5
37.5 m \le width < 38.5
Minimum area = 37.5 x 51.5 = 1931.25 m\(^2\)
Maximum area = 38.5 x 52.5 = 2021.25 m\(^2\)
∴ The range of the area = 1931.25 m\(^2\) \le A < 2021.25 m\(^2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #67364)