A map of a nature reserve is set to a scale of $1:n$, where $n$ is a whole number. A forest

Question

A map of a nature reserve is set to a scale of $1:n$, where $n$ is a whole number. A forest block with an area of $1$ $\mathrm{km}^2$ is represented by $4$ $\mathrm{cm}^2$ on the map. Find the value of $n$. A new map is drawn for the same area, such that the area of the forest block on the original map is $9$ times bigger than the area represented on the new map. Calculate the real-world distance, in $\mathrm{km}$, represented by $12$ cm on this new map.

Accepted Answer

(a)$n=50000$ $\ $(b)$18$km

Ratio, Rate and Speed - Ratio

Ratio, Rate and Speed - Ratio