Question

The scale on a map is 1:30000 what is the actual distance represented by 1 centimetre give your answer in metres the scale on a different map is 1 inch represents 6 miles a road on the map measures 2.5 inches how long is the road in real-life?

Answer 1

Answer:

A. 1 cm will represent 300 metres in real life.

B. 2.5 inches will represent 15 miles on the road

Step-by-step explanation:

Part A.

The scale on the map is 1: 30000. This means that for every 1 unit drawn on the paper, it actually represents 30,000 units in real life.

To get the actual distance represented by 1 centimetre, we will first have to convert 1 cm to metre. this is because our answer is required in metres.

This will be 1 cm = 0.01 metres

We can no set up the relation.

if 1 unit represents 30,0000 units in real life

0.01 metres will represent x metres in real life.

This will be got by cross multiplying$x= \frac{0.01 \times 30,000}{1}=300 metres$

it will represent 300 metres in real life.

Part B

following the same principle above, we can also set up a relation.

If 1 inch represents 6 miles

2.5 inches will represent x miles on the road.

cross multiplying, we will have

$x= \frac{2.5 \times6}{1}= 15 miles$

2.5 inches will represent 15 miles on the road