44.9k views
1 vote
If the area of a square plot of

land is 9 miles squared, what is
the perimeter of this land?

User KkMIW
by
5.6k points

1 Answer

1 vote

Answer:


\huge{ \fbox{ \sf{12 \: miles}}}

Explanation:

Given,

Area of a square plot = 9 miles

First, finding the length of the land


\boxed{ \sf{Area \: of \: a \: square \: = \: {length}^(2) }}


\mapsto{ \sf{9 = {length}^(2) }}


\mapsto{ \sf{ {length}^(2) = 9}}


\mapsto{ \sf{ \sqrt{ {(length)}^(2) }} = √(9) }


\mapsto{ \sf{length = 3 \: miles}}

Now , finding the perimeter of the land :


\boxed{ \sf{perimeter \: of \: a \: square = 4 \: * length}}


\mapsto{ \sf{perimeter \: = \: 4 \:  * \: 3}}


\mapsto{ \sf{perimeter \: = 12 \: miles}}

The perimeter of the land = 12 miles

Hope I helped!

Best regards! :D

~
\text{TheAnimeGirl}

User Sajan Chandran
by
5.1k points