the factory makes a rectangular rug that is 4 feet long and 2 feet 6 inches wide.how much braid will hank need to cut to go all the way around

You require to find the perimeter of the carpet.
Perimeter = 2xLength + 2xWidth
Perimeter = 2 x 4 + 2 x 2ft 6 ins.
Perimeter = 8 + 5 ft
Perimeter = 13ft
13ft of braid is required.
Hope this helps:-)
He will need to cut 13 feet of braid to go all the way around.
work:
4+4=8 and 2.6+2.6=4.12
one foot = 12 inches, so 4.12= 5 feet
8+5= 13