SOLUTION: A Biosphere covers over 130,000 square feet. If its layout was in the shape of a single square, what would be its dimensions?

Algebra ->  Surface-area -> SOLUTION: A Biosphere covers over 130,000 square feet. If its layout was in the shape of a single square, what would be its dimensions?      Log On


   

Question 73430: A Biosphere covers over 130,000 square feet. If its layout was in the shape of a single square, what would be its dimensions?
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square is given by the equation:
.
A+=+S%5E2
.
where A is the area and S is the length of a side of the square.
.
In this problem you are told that the area is 130,000 square feet. Substitute this into
the equation to get:
.
130000+=+S%5E2
.
Find the answer by taking the square root of both sides:
.
sqrt%28130000%29+=+sqrt%28S%5E2%29
.
Calculator time. The square root of 130,000 is 360.555 so the answer to the problem is:
.
360.555 = S and the units are feet.
.
And since the problem states the area is over 130,000 then you may need to say that
the length of a side is over 360.555 feet or the dimensions are over 360.555 feet by 360.555 feet.
.
Hope this helps you to see how to work this problem.