2023
Mathematics
67ca00ce0c643c71d77dee1f
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 m2 ≤ A < 2021.25 m2
B.
1950 m2 ≤ A < 2002m2
C.
1957 m2 ≤ A < 1995 m2
D.
1931.25 m2 ≥ A > 2021.25 m2
Correct Answer: 1931.25 m2 ≤ A < 2021.25 m2
Explanation
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 m2 Maximum area = 38.5 x 52.5 = 2021.25 m2 ∴ The range of the area = 1931.25 m2 ≤ A < 2021.25 m2
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 m2 Maximum area = 38.5 x 52.5 = 2021.25 m2 ∴ The range of the area = 1931.25 m2 ≤ A < 2021.25 m2THIS WEEK's
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