SOLUTION: A holding pen for cattle must be square and have a diagonal length of 140 meters A. find the length of 1 side of the pen B. find the area of the pen (an exact answer us

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Question 435674: A holding pen for cattle must be square and have a diagonal length of 140 meters
A. find the length of 1 side of the pen
B. find the area of the pen
(an exact answer using radicals as needed)
Found 2 solutions by Alan3354, robertb:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
s = side length
s%5E2+%2B+s%5E2+=+140
s%5E2+=+70 = Area in sq meters
s+=+sqrt%2870%29

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
s%5E2%2B+s%5E2+=+140%5E2
==> 2s%5E2+=+19600
<==> s%5E2+=+9800
==> s+=+70sqrt%282%29 <---length of one side of the pen.
(This can also be gotten by simply dividing 140 by sqrt%282%29.)
Because A+=+s%5E2+=+9800, the area of the pen is 9800 square meters.