SOLUTION: 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

Question 436154: 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)

Found 2 solutions by mananth, robertb:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Diagonal of pen = 140
length of side of square = x
by pythagoras theorem
x^2+x^2= 140
2x^2=140
x^2=70

x= 8.36 m
Area =
Area = 70 sq.m
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
by the Pythagorean Theorem

meters, after taking square-roots.
Area of square pen is square meters.

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