Perimeter 26ft. include the area

Question

Find at least two options for creating a fence around the dog park that has a rectangle with the perimeter of 26ft.  Include the area of each of your options and which rectangle shape you recommend for the dog park and why?

Answer 1

the rectangle with the greatest area is always a square

26/4=6.5 foot square

A=6.5*6.5

A=42.25 square feet if you want the maximum area

Answer 2

The perimeter of a rectangle is 2L + 2w (or the two lengths plus the 2 widths).

The area is Lw (that is, the length times the width).

 

Let's try making the two lengths 14 (or 7 apiece (14 / 2 = 7).

26 - 14 = 12, so the two widths are 12 (or 6 apiece (12 / 2 = 6)).

Area is the length times width, so 7 * 6 = 42

 

That's the area of one rectangle.

Let's try another one. Say, the two length is 18 (which means 9 apiece).

26 - 18 = 8, so the two widths are 8 (or 4 apiece).

9 * 4 = 36

 

42 > 36, so in this case the 7-length/6-width is the better of two options

 

Do note that they ask you to create your own rectangle, so the lengths/widths you end up with are your personal choices, so don't feel as if you have to use what I showed you here as the final say all.