SOLUTION: A holding pen fro cattle must be square and have a diagonal length of 140 meters. A: Find the length of a side of the pen? (Symplify your answer. An exact answer using radical

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Question 436549: A holding pen fro cattle must be square and have a diagonal length of 140 meters.
A: Find the length of a side of the pen?
(Symplify your answer. An exact answer using radicals as needed)
B: The area of the pen in square meters is?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A holding pen fro cattle must be square and have a diagonal length of 140 meters.
A: Find the length of a side of the pen?
(Symplify your answer. An exact answer using radicals as needed)
Let x = length of one side of square
then applying Pythagorean theorem:
x%5E2+%2B+x%5E2+=+140%5E2
2x%5E2+=+19600
x%5E2+=+9800
x+=+sqrt%289800%29
x+=+sqrt%282%2A7%2A7%2A10%2A10%29
x+=+7%2A10%2Asqrt%282%29
x+=+70%2Asqrt%282%29 meters
.
B: The area of the pen in square meters is?
area is then x^2
x%5E2+=+%2870%2Asqrt%282%29%29%5E2
x%5E2+=+70%5E2%2Asqrt%282%29%5E2
x%5E2+=+4900%2Asqrt%282%29%5E2
x%5E2+=+4900%2A%282%29
x%5E2+=+9800+square meters