Question 436154
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A holding pen for cattle must be square and have a diagonal length of 140 meters.

Find the length of a side of the pen?

Find the area of the pen?

(An eaxact answer usings radicals as needed)
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        The solution in the post by @mananth is  FATALLY  WRONG.

        I came to bring a correct solution.



Diagonal of pen = 140 meters

length of side of square = x
by pythagoras theorem
x^2 + x^2 = 140^2
2x^2 = 140^2
x^2 = 140^2/2
{{{x= 140/sqrt(2)}}}
x= 98.99494937 m

Area = x^2 = 140^2/2 = 9800
Area = 9800 sq.m


Solved correctly.