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
Algebra.Com
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(39617) (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.
RELATED QUESTIONS
1. Richard has available 400 yards of fencing and wishes to enclose a rectangular area.
(answered by ikleyn,Theo,Solver92311)
A farmer has available 400 yards of fencing and wishes to enclose a rectangular area.... (answered by oberobic)
Please help me solve this word problem.
Fred has available 400 yards of fencing and... (answered by Gogonati)
Diana has available 400 yards of fencing and wishes to enclose a rectangular area.... (answered by Boreal,ikleyn)
David has 440 yards of fencing and wishes to enclose a rectangular area. 1. Express the... (answered by htmentor)
David has available 3600 yards of fencing and wishes to enclose a rectangular area.... (answered by josgarithmetic)
Lorna wants to enclose a rectangular area next to the river. She only has 400 ft. of... (answered by josgarithmetic,ikleyn)
Farmer has 800 yards of fencing to enclose rectangular garden. Express the area A of the (answered by RAY100)
A farmer has 96 meters of fencing. He wants to enclose a rectangular field and build a... (answered by ankor@dixie-net.com)