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\(^2\)
Correct answer is A
The sides have been given to the nearest meter, so
51.5 m ≤ length < 52.5
37.5 m ≤ 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\(^2\) ≤ A < 2021.25 m\(^2\)
