Posted by **kaykay** on Sunday, January 9, 2011 at 12:51pm.

Susan has 50 ft. of fencing in her backyard. What is the largest area garden Susan can create, show the gardens dimensions and explain how you know its the largest area

- math -
**Ms. Sue**, Sunday, January 9, 2011 at 1:11pm
http://www.jiskha.com/display.cgi?id=1294529974

- math -
**tchrwill**, Sunday, January 9, 2011 at 3:47pm
Considering all rectangles with the same perimeter, the square encloses the greatest area.

Proof: Consider a square of dimensions x by x, the area of which is x^2. Adjusting the dimensions by adding a to one side and subtracting a from the other side results in an area of (x + a)(x - a) = x^2 - a^2. Thus, however small the dimension "a" is, the area of the modified rectangle is always less than the square of area x^2.

- math -
**Anonymous**, Wednesday, May 4, 2011 at 8:25pm
20x15

## Answer this Question

## Related Questions

- math - Susan has 50ft of fencing to use to build a garden in her backyard. A: ...
- math - Susan has 50ft of fencing to use to build a garden in her backyard. A: ...
- Math - My friend has $80 to spend on a fence for her rectangular garden. She ...
- engineering mathematics 1 - your father wants to fence a rectangular area in ...
- geometry - francisco designed a triangular garden surrounded by three square ...
- Math - Mr. Rogers wants to fence in a rectangular garden next to a straight ...
- Polynomials and quadratic application - I want to make a rectangular garden by ...
- Pre-Calc - A farmer is making a pig pen next to the barn. He has enough ...
- Math OPTIMIZATION - A home gardener plans to enclose two rectangular gardens ...
- Math - A gardener has 120 ft of fencing to fence in a rectangular garden. one ...

More Related Questions