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

Algebra.Com
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): You can put this solution on YOUR website!
.
A farmer enclosed a rectangular field with 500 m of fencing. (Area of 15400 m sq). 
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.



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

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:  

RELATED QUESTIONS


the area of a rectangular field is 2275 . The field is enclosed by 200 m of fencing. What  (answered by flame8855)

A rectangular field is to enclosed with 600 m of fencing. What dimensions will produce a... (answered by Edwin McCravy)

A rectangular field is to enclosed with 600 m of fencing. What dimensions will produce a... (answered by checkley77)

A rectangular field with an area of 8000m^ is enclosed by 400m of fencing. Determine the... (answered by josmiceli)

A rectangular field with area 5000 meters squared is enclosed by 300 meters of fencing.... (answered by unlockmath)

A rectangular field with area 5000 meters^2 is enclosed by 300 meters of fencing. Find... (answered by Fombitz)

A rectangular field with area 5000 meters squared is enclosed by 300 meters of fencing.... (answered by unlockmath)

A farmer has 6000m of fencing and wishes to create a rectangular field subdivided into 4... (answered by josgarithmetic,math_tutor2020)

The area os a rectangular feild is 2275m^2. The field is enclosed by 200 m of fence. What  (answered by checkley77)