#### Answer

The width of the rectangle is 16 cm

#### Work Step by Step

The formula for the perimeter of a rectangle is P = 2w + 2l
Substitute 80 for P and 24 for l to obtain:
80 = 2 $\times$ w + 2 $\times$ 24
80 = 2w + 48
Subtract 48 from both sides
32 = 2w
Divide both sides by 2
16 = w