JAMB Mathematics 2023 Paper

Concept:When measurements are rounded to the nearest metre, the actual dimensions lie within half a metre below and above the given values.Explanation:For the side given as $52$ m, the true length $L$ satisfies $51.5 \leq L < 52.5$ m.For the side given as $38$ m, the true width $W$ satisfies $37.5 \leq W < 38.5$ m.The area $A = L \times W$.The minimum area is $37.5 \times 51.5 = 1931.25$ m$^2$.The maximum possible product approaches $38.5 \times 52.5 = 2021.25$ m$^2$, but this value cannot actually be reached because both upper bounds are exclusive.Therefore, the area lies in the interval $1931.25 \leq A < 2021.25$ m$^2$.Answer:$1931.25$ m$^2 \leq A < 2021.25$ m$^2$