SOLUTION: A retangular field is to be enclosed by 500m of fence. What dimensions will give the maximum area? What is the maximum area?
Solution:
Let the length of rectangle = x
So the wid
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Question 196949: A retangular field is to be enclosed by 500m of fence. What dimensions will give the maximum area? What is the maximum area?
Solution:
Let the length of rectangle = x
So the width will be, w
perimeter =
or x+w=250
or w=250-x
So the area,A(x) =
A(x)=
Area is maximum at the vertex if the parabola
made by the equation, A(x)=
vertex=[(-b/2a),A(-b/2a)]
-b/2a = = 125
A(250) = = 15625
So Length,x =125m
Width = 250-125 = 125m
Maximum area =
Answer by mathsteacher(28) (Show Source): You can put this solution on YOUR website!
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