Posted by Courtney on .
polly wants to build a rectangular dog pen for her poodle. She has 24ft of fencing in 1 ft sections. What are the dimensions of the best dog pen for polly's poodle? explain
Please help my teacher never explains just hands out problems

Geometry 
Ms. Sue,
What do you mean by "best?" Is it a long narrow pen so that the dog can run? Or is a pen with the most square feet?

Geometry 
Courtney,
problem problem just says rectangular dog ben nothing about squar feet so i am assuming so that the dog has the most room

Geometry 
Ms. Sue,
You might try a few possible dimensions to see which produces the largest pen.
A = 2L + 2W
A = 2(3) + 2(9)
A = 2(4) + 2(8)
A = 2(6) + 2(6) 
Geometry 
Courtney,
A = 2(4) + 2(8)
8 + 16 = 24
then you would divide the 8 and the 16 by 2 giving the dimensions
4 4 8 8 =24
is this correct 
Geometry 
Ms. Sue,
Right that would produce a pen that was 4 feet wide and 8 feet long. It would contain 32 square feet.
However a square pen that was 6 feet on each side would have an area of 36 square feet. 
Geometry 
Courtney,
thank you

Geometry 
Ms. Sue,
You're welcome.