The length of a belt of trees on a map is 3.5 cm and its real length is 200 m.Express this as a ratio.
Question
The length of a belt of trees on a map is 3.5 cm and its real length is 200 m. Express this as a ratio.
Solution
Step 1: Identify the given values. The length of the belt of trees on the map is 3.5 cm and its real length is 200 m.
Step 2: We need to convert the real length to the same unit as the map length for a meaningful comparison. Since 1 m = 100 cm, 200 m = 200 * 100 = 20000 cm.
Step 3: Now, we can express the scale as a ratio of the length on the map to the real length. So, the ratio is 3.5 cm : 20000 cm.
Step 4: Simplify the ratio by dividing both sides by the smallest number, which is 3.5. The simplified ratio is 1 : 5714.29.
So, the scale of the map is 1:5714.29. This means that 1 cm on the map represents 5714.29 cm (or approximately 57.14 m) in real life.
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