SOLUTION: Mike has 400 yards of net and wants to enclose a rectangular area.
1. Express area of A as a function of the width (w).
400=2(w+1)
???????
2. For what value of w is the area
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Question 1009099: Mike has 400 yards of net and wants to enclose a rectangular area.
1. Express area of A as a function of the width (w).
400=2(w+1)
???????
2. For what value of w is the area the largest?
?????????
3. What is the maximum area?
????????
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
w and L, the dimensions, and perimeter is . Simplify this!
.
Area is wL, and naming area as a function, you may choose A.
.
You want to be more specific for which is the input variable for A. Look at the simplified perimeter equation.
Either or . Choose one and work with it.
One way, A as a function of w;
;
and using this in this factored form will be convenient. This A(w) is a parabola with vertex as a maximum point. The vertex occurs in the exact middle of the roots or zeros, using w as the horizontal axis values.
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