Is this true?
It is possible for two rectangles to have the same area without having the same perimeter??
I answered your question here
http://www.jiskha.com/display.cgi?id=1366398768
and you read and thanked me.
Now you post it again after that fact, very strange.
Got it then got confused with other possibilites. But, I figured it out.
To determine if it is possible for two rectangles to have the same area without having the same perimeter, let's break it down step-by-step.
First, let's establish what area and perimeter mean for a rectangle.
- The area of a rectangle is the product of its length and width. It represents the amount of space inside the rectangle.
- The perimeter of a rectangle is the sum of all its sides. It represents the total length around the outside of the rectangle.
Now, let's consider the scenario where two rectangles have the same area but different perimeters. To explore this, we can create two random rectangles and compare their properties.
1. Rectangle A: Length = 4 units, Width = 6 units
2. Rectangle B: Length = 8 units, Width = 3 units
Calculating the area and perimeter of Rectangle A:
- Area = Length * Width = 4 * 6 = 24 square units
- Perimeter = 2 * (Length + Width) = 2 * (4 + 6) = 20 units
Calculating the area and perimeter of Rectangle B:
- Area = Length * Width = 8 * 3 = 24 square units
- Perimeter = 2 * (Length + Width) = 2 * (8 + 3) = 22 units
By comparing these two rectangles, we can see that they have the same area (24 square units) but different perimeters (20 units and 22 units). Therefore, it is indeed possible for two rectangles to have the same area without having the same perimeter.
To summarize, the answer to your question is yes, it is possible for two rectangles to have the same area without having the same perimeter.