Question

The side lengths of a rectangle are all multiplied by 5. What happens to its perimeter?

Answer 1

The perimeter is multiplied by 5.

Explanation:

Perimeter of a rectangle:

The perimeter of a rectangle with sides l and w is given by:

`P = 2(l + w)`

The side lengths of a rectangle are all multiplied by 5.

This means that
`l = 5l, w = 5w`. So

`P_M = 2(5l + 5w) = 2*5(l+w) = 10(l + w)`

What happens to its perimeter?

The rate is:

`(P_M)/(P) = (10(l+w))/(2(l+w)) = 5`

The perimeter is multiplied by 5.