Posted by **Adams** on Saturday, July 16, 2011 at 3:24pm.

A farmer has 100 yards of fencing with which to enclose two adjacent rectangular pens - both bordering a river. The farmer does not need to fence the side with the river. What should the dimensions of the two pens Together (rectangle shape) be in order to yield the largest possible AREA. Thanks T. Adams

- Algebra - Math -
**Ms. Sue**, Saturday, July 16, 2011 at 3:42pm
The total dimensions should be 25 by 25.

- Algebra - Math -
**Algebra - Math**, Saturday, July 16, 2011 at 4:56pm
Hi Ms. Sue,

Can you tell me how you came up with those dimensions, so I can understand the problem. Thank you T. Adams

- Algebra - Math -
**Ms. Sue**, Saturday, July 16, 2011 at 4:59pm
A square gives the largest area.

You need 4 lengths of fence -- 1 parallel to the river and 3 perpendicular to the river. If each fence were 25 yards long -- then the perimeter of the two pens together is 100 yards.

- Algebra - Math -
**T. Adams**, Saturday, July 16, 2011 at 6:45pm
o.k. but the question asked what should the dimensions of the ten pens together be in order to yield the largest possible area - wouldn't that be 1250 feet? I guess I am still confused. Thank you. T. Adams

- Algebra - Math -
**Ms. Sue**, Saturday, July 16, 2011 at 7:07pm
25 * 25 = 625 sq. yards

Each pen is 12.5 * 25.

- Algebra - Math -
**Jewel**, Thursday, April 4, 2013 at 3:39pm
Translante the word into a math expression Sheila buys some boxes of pens,with 20 pens in each box

- Algebra - Math -
**Greg McBride**, Wednesday, December 17, 2014 at 10:31pm
A farmer has 380 meters of fencing and want to enclose a rectangular area of 9000 square meters what dimensions should he use

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