Respuesta :

Answer:8

Step-by-step explanation:

12+12=24

40-24=16

8+8=16

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 \: feet}}}}}[/tex]

Step-by-step explanation:

Given,

Perimeter of a rectangular rug ( P ) = 40 feet

Length of a rectangular rug ( l ) = 12 feet

Width of a rectangular rug ( w ) = ?

Finding the width

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]

[tex] \longrightarrow{ \sf{40 = 2(12 + w)}}[/tex]

[tex] \longrightarrow{ \sf{40 = 24 + 2w}}[/tex]

[tex] \longrightarrow{ \sf{24 + 2w = 40}}[/tex]

[tex] \longrightarrow{ \sf{2w = 40 - 24}}[/tex]

[tex] \longrightarrow{ \sf{2w = 16}}[/tex]

[tex] \longrightarrow{ \sf{ \frac{2w}{2} = \frac{16}{2} }}[/tex]

[tex] \longrightarrow{ \sf{w = 8 \: ft}}[/tex]

Width of a rectangular rug = 8 feet

Hope I helped!

Best regards! :D