Posted by **idk** on Tuesday, February 19, 2013 at 12:48am.

Marni wants to fence in a rectangular are of 48 ft squared. she wants to but the least amount of fencing.

1. Describe the dimensions she should us to build the are. use whole numbers only

2. How much fencing wil she need

3. Explain how you found that answer?

- math -
**Reiny**, Tuesday, February 19, 2013 at 9:08am
I largest area of a rectangle is obtained when that rectangle is a square, so

x^2 = 48

x = √48 = 4√3 = appr 6.9 or 7 as a whole number.

She will need 4(7) or 28 ft of fencing

If the rectangle is 6 ft by 8 ft, then the area will be exactly 48 ft^2

and the perimeter would be 2(6) + 2(8) = 28 ft

notice that if the rectangle is 7 by 7, we get an area of 49 ft^2, so using the same perimeter as the 6 by 8 rectangle we get a larger area.

Either way, the least amount of fencing she needs is 28 ft

## Answer this Question

## Related Questions

- math - farmer Pete has enough seed plant a rectangular garden that is 48 square ...
- Math - Jennifer plans to fence a rectangular area around her rectangular ...
- Pre Calculus - A contractor is to fence off a rectangular field along a straight...
- Math - 1. A gardener has 140 feet of fencing to fence in a rectangular vegetable...
- college Algebra - A rectangular fence is to be built along a river using the ...
- math - Roger just got a puppy for his birthday. He and his mother will build a ...
- Calculus - A rancher wants to build a rectangular fence next to a river, using ...
- Math - 1. A man has 22 feet by 26 feet rectangular lot that he will use for ...
- Calculus 2 - A farmer wishes to build a fence for 6 adjacent rectangular pens. ...
- Math - Jane grows several varieties of plants in a rectangular-shaped garden. ...