地图的比例尺为 2 cm 代表 1 km。

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完整解法

1. Apply the map scale to convert actual distance to map length

Since $1\text{ km}$ is represented by $2\text{ cm}$ on the map,

$8.5\text{ km} \text{ is represented by } 8.5 \times 2 = 17\text{ cm}.$

答案

$17\text{ cm}$

1. Convert the given linear scale into an area scale

The scale is $2\text{ cm} : 1\text{ km}$ .

So
$2\text{ cm} \times 2\text{ cm} \text{ on the map represents } 1\text{ km} \times 1\text{ km} \text{ actual}.$

Hence,
$4\text{ cm}^2 \text{ on the map represents } 1\text{ km}^2 \text{ actual}.$

2. Use the area scale to find the actual area represented by $9\text{ cm}^2$

Since $4\text{ cm}^2$ represents $1\text{ km}^2$ ,
$9\text{ cm}^2 \text{ represents } \frac{9}{4}\text{ km}^2.$

$\frac{9}{4}=2.25$

答案

$2.25\text{ km}^2$

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