Question

Write four different expressions for the perimeter of a pentagon whose sides are all s - 2 units long.

Answer 1

1)
`5s-10`

2)
`(s-2)+(s-2)+(s-2)+(s-2)+(s-2)`

3)
`5(s-2)`

4)
`2(s-2)+3(s-2)`

Explanation:

1) By definition, a pentagon is a polygon which has five sides and five vertices.

2) The perimeter of a pentagon can be calculated by adding the lenght of its sides. Therefore you can write the following expression:

`(s-2)+(s-2)+(s-2)+(s-2)+(s-2)`

3) Or you can calculated by multiplying the lenght of one side by 5:

`5(s-2)`

4) You can also write it in this form:

`2(s-2)+3(s-2)`

5) Or simplified:

`5s-10`