SOLUTION: A rectangular farm has a perimeter of 700m and area of 30 000m^2. Find it's dimensions.

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Question 989753: A rectangular farm has a perimeter of 700m and area of 30 000m^2. Find it's dimensions.
Answer by ikleyn(52781) About Me  (Show Source):
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Answer.  150 m  and  200 m.

Solution

You need to solve the system of two equations

system%28x+%2B+y+=+350%2C%0D%0Axy+=+30000%29.

Express  y = 350-x  from the first equation and substitute into the second equation.  You will have

x*(350-x) = 30000.

Then solve this quadratic equation using the quadratic formula or the Vieta's theorem.