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2023

Mathematics

JAMB

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 m2
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