Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13 \: ft}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: Area \: of \: a \: square \: rug \: ( \: A \: ) \: = \: 169 \: {ft}^{2} }}[/tex]
[tex] \sf{ \underline{Finding \: the \: length \: of \: a \: square \: ( \: l \: )}}[/tex]
[tex] \boxed{ \sf{Area \: of \: a \: square \: = \: {l}^{2} }}[/tex]
[tex] \hookrightarrow{ \sf{169 = {l}^{2} }}[/tex]
[tex] \hookrightarrow{ \sf{ {l}^{2} = 169}}[/tex]
[tex] \hookrightarrow{ \sf{ \sqrt{ {(l)}^{2} } = \sqrt{169} }}[/tex]
[tex] \hookrightarrow{ \text{length \: = \: 13 \: ft}}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: wishes !!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
