Question

The area of a square rug is 169ft^2. How long is each side of the rug?

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{13 \: ft}}}}}$

Step-by-step explanation:

$\star{ \sf{ \: Area \: of \: a \: square \: rug \: ( \: A \: ) \: = \: 169 \: {ft}^{2} }}$

$\sf{ \underline{Finding \: the \: length \: of \: a \: square \: ( \: l \: )}}$

$\boxed{ \sf{Area \: of \: a \: square \: = \: {l}^{2} }}$

$\hookrightarrow{ \sf{169 = {l}^{2} }}$

$\hookrightarrow{ \sf{ {l}^{2} = 169}}$

$\hookrightarrow{ \sf{ \sqrt{ {(l)}^{2} } = \sqrt{169} }}$

$\hookrightarrow{ \text{length \: = \: 13 \: ft}}$

$\text{Hope \: I \: helped!}$

$\text{Best \: wishes !!}$

~$\text{TheAnimeGirl}$