The distance between the towns of Averton and Brackston is 10km. On map the distance is 5cm. What is the scale of the map in its simplest form

The scale of the map in its simplest form is 1:200,000

Step-by-step explanation: From the question,

The distance between the two towns is 10km which is a distance of 5cm on the map.

This means, 5cm represents 10km. Now we will determine what 1cm represents.

If 5cm represents 10km

Then 1cm will represent (10÷5) km

Hence, 1 cm will represent 2km

Now, convert 2km to cm

2km = 2000m = 200,000cm

Hence, 1cm represents 200,000cm

This means on the map 1cm represents 200,000cm.

The scale of the map is therefore

1:200,000

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.