The new perimeter would be 60.
Let's say the length is 10 and the width is 5.
2 * 10 = 20 and 2 * 5 = 10
20 + 10 = 30 <== The old perimeter
If we double 10 and 5 we get 20 and 10 as the new length and width.
2 * 20 = 40 and 2 * 10 = 20
40 + 20 = 60 <== The new perimeter