Thursday

December 18, 2014

December 18, 2014

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

- math -
**Ms. Sue**, Sunday, January 9, 2011 at 1:11pm - math -
**tchrwill**, Sunday, January 9, 2011 at 3:47pmConsidering 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 8:25pm20x15

**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: ...

engineering mathematics 1 - your father wants to fence a rectangular area in ...

geometry - francisco designed a triangular garden surrounded by three square ...

Math OPTIMIZATION - A home gardener plans to enclose two rectangular gardens ...

math - Please show all of your work in the space below. Please present and ...

Math - Mr. Rogers wants to fence in a rectangular garden next to a straight ...

math - A garden will be made up of a parallelogram, a rectangle and a triangle. ...

Math - A gardener has 120 ft of fencing to fence in a rectangular garden. one ...

math - Alicia,Charles,and Yumiko all planted gardens using 36 feet of fencing ...