answersLogoWhite

0

No. Take a square with each side 9 feet long. The perimeter is 9+9+9+9 = 36 ft and the area is 9 x 9 = 81 square feet.

Now squash the square down a bit so that it is a 7 x 11 rectangle. The perimeter is still 36 ft, but the area is now smaller at 77 square feet.

Squash it right down to just 1 ft tall by 17 ft wide and the perimeter is still 36 ft, but the area is now just 17 square feet.

So for any given perimeter, the closer the shape of a rectangle is to a square, the larger will be the area.

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa
LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao

Add your answer:

Earn +20 pts
Q: Do the two rectangles with the same perimeter always have the same area?
Write your answer...
Submit
Still have questions?
magnify glass
imp