A rectangular plot of land has sides with lengths of 38 m and 52 m...

JAMB 2023

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\(^2\)

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Correct Answer: Option A

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 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\(^2\)

There is an explanation video available below.

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