answersLogoWhite

0

Infinitely many. Suppose the area of the rectangle is 100. We could create rectangles of different areas:

100x1

50x2

25x4

20x5

10x10

However, the side lengths need not be integers, which is why we can create infinitely many rectangles.

Generally, if A is the area of the rectangle, and L, L/A are its dimensions, then the amount 2(L + (L/A)) can range from a given amount (min. occurs at L = sqrt(A), perimeter = 4sqrt(A)) to infinity.

User Avatar

Wiki User

13y ago

Still curious? Ask our experts.

Chat with our AI personalities

ReneRene
Change my mind. I dare you.
Chat with Rene
SteveSteve
Knowledge is a journey, you know? We'll get there.
Chat with Steve
BeauBeau
You're doing better than you think!
Chat with Beau

Add your answer:

Earn +20 pts
Q: How many rectangles have the same area but different perimeters?
Write your answer...
Submit
Still have questions?
magnify glass
imp