SOLUTION: A farmer enclosed a rectangular field with 500 m of fencing. (Area of 15400 m sq).
A. Determine the dimensions of the field?
B. What would the dimensions of the field be if he
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-> SOLUTION: A farmer enclosed a rectangular field with 500 m of fencing. (Area of 15400 m sq).
A. Determine the dimensions of the field?
B. What would the dimensions of the field be if he
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Question 1042964: A farmer enclosed a rectangular field with 500 m of fencing. (Area of 15400 m sq).
A. Determine the dimensions of the field?
B. What would the dimensions of the field be if he wanted to maximize the area? Prove algebraic ally. Found 2 solutions by ikleyn, MathTherapy:Answer by ikleyn(52781) (Show Source):
A. Determine the dimensions of the field?
L + W = = 250. (1)
L*W = 15400. (2)
Express L = 250 - W from (1) and substitute into (2). You will get
(250-W)*W = 15400.
Simplify and solve this quadratic equation.
= .
W = = .
We select lesser of the two roots W = 110, leaving the greater root for L = 140.
Answer. The dimensions are 140 m and 110 m.
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A farmer enclosed a rectangular field with 500 m of fencing. (Area of 15400 m sq).
A. Determine the dimensions of the field?
B. What would the dimensions of the field be if he wanted to maximize the area? Prove algebraic ally.
Dimensions:
To maximize area, the field MUST be a square, with one of its sides being:
