Question

1. the shoreline of great bear lake is approximately 2719 km (not counting islands). if a map is drawn with a scale of 3 cm:100 km, how long would the shoreline be on the map?

Explanation:

Step1: Define scale ratio

The scale is $3\ \text{cm}:100\ \text{km}$, meaning $\frac{3\ \text{cm}}{100\ \text{km}}$ is the map-to-real ratio.

Step2: Set up proportion

Let $x$ = map length.
$$\frac{x}{2719\ \text{km}} = \frac{3\ \text{cm}}{100\ \text{km}}$$

Step3: Solve for $x$

Rearrange to isolate $x$.
$$x = \frac{3\ \text{cm} \times 2719}{100}$$
$$x = 81.57\ \text{cm}$$

Answer:

$81.57\ \text{cm}$