Question

the scale of a map of a garden is 1 cm : 2 m. if the map shows a path that is 7 cm long, what is the actual length of the path?

Explanation:

Step1: Identify the scale ratio

The scale is 1 cm represents 2 m, or $\frac{1\text{ cm}}{2\text{ m}}$.

Step2: Set up a proportion

Let $x$ be the actual length. The proportion is $\frac{1\text{ cm}}{2\text{ m}}=\frac{7\text{ cm}}{x}$.

Step3: Cross - multiply and solve

$1\times x = 2\times7$. So $x = 14$ m.

Answer:

14