Liam has bought 48 feet of fencing that he will use to build a pig pen. list 6 different dimensions he could create for his pen using the fencing bought.

I assume, that this pen is rectangular. 

Look, that  48 = 24 * 2 = 12 * 2 * 2 = 3 * 2 * 2 * 2 * 2
And know choose these numbers and multiply! 

First dimension:  3*2 x 2*2*2 = 6 x 8
Second:   3 x 2*2*2*2 = 3 x 16
Third: 3*2*2 x 2*2 = 12 x 4
Fourth: 3*2*2*2 x 2 = 24 x 2
Fifth: 48 x 1
Sixth dimension cannot be integer. So you can for example save this  as
48 = 3 * 16 = 1.5 * 2 * 16 = 1.5 * 32

Sixth dimension:  1.5  x  32

NOTE: each dimensions are in feet!