Let's find all the possible addition solutions for 24.
 0,24
 1,23
 2,22
 3,21
 4,20
 5,19
 6,18
 7,17
 8,16
 9,15
 10,14
 11,13
 12,12
  
 Now we multiply these until one of them equals 143
 0*24=0
 1*23=23
 2*22=44
 3*21=63
 4*20=80
 5*19=95
 6*18=108
 7*17=119
 8*16=128
 9*15=135
 10*14=140
 11*13=143
  
 Since 11*13=143, then 11 and 13 are the width and length