Posted by **aa** on Monday, September 19, 2011 at 7:20am.

what is the largest are of rectangular area that can be enclosed in sixteen meter fence

?

- math -
**Dr Russ**, Monday, September 19, 2011 at 7:57am
I am sure that I have answered this one recently

Let the width of the rectangle = w and the height = h

2w+2h=16 or

w=8-h

the area=wh or

area = (8-h)h = 8h-h^2 =a

there are a couple of ways to finding the maximum area. You could plot area against h and find where h is a maximum.

Alternatively the area is a maximum when da/dh=0

da/dh=8-2h, which is zero when h=4

i.e. the maximum area is when h=4 and w=4

so the largest area is 16 m^2

## Answer this Question

## Related Questions

- Math - Jennifer plans to fence a rectangular area around her rectangular ...
- Math - 1. A gardener has 140 feet of fencing to fence in a rectangular vegetable...
- algebra2 - A farmer has 600 yards of fence. He will use some of the fence to ...
- Math - A farmer has 230 ft of fence to enclose a rectangular garden. What is the...
- College Math - farmer wishes to fence a rectangular area along the river bank. ...
- Grade 11 Math - A rectangular dog run is to be enclosed by a fence and then ...
- Math - Jennifer plans to fence a rectangular area around her rectangular ...
- Math - A rectangular study area is to be enclosed by a fence and divided into ...
- Math - The Maximum Garden Problem. A farmer has 230 ft of fence to enclose a ...
- Algebra - A farmer has 230 ft of fence to enclose a rectangular garden. What is ...