Question

Regulations stipulate that the ratio of the lengths of sides AB : BC must be 5 : 3. You measure the distance AB and find that it is 90 metres long. What must the length of BC be?

Answer 1

Therefore the length of BC must be 54 meters.

Explanation:

Given:

The ratio of the lengths of sides AB : BC

`(AB)/(BC)=(5)/(3)`

AB = 90 meter

To Find:

BC = ?

Solution:

`(AB)/(BC)=(5)/(3)` .................Given

Substituting the values we get

`(90)/(BC)=(5)/(3)`

by Cross multiplying we get

`BC=(3* 90)/(5)=(270)/(5)=54\\\\\therefore BC = 54\ meter`

Therefore the length of BC must be 54 meters.