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Q: If two rectangles have the same perimetre they must have the same area?
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What are the dimensions of a square that has the same area as the perimetre?

4 by 4 units


Why does rectangles have the same area and perimeter?

they dont


What does the relationship between the length and the width of rectangles with the same area mean?

The relationship between the length and width of rectangles with the same area means that if you decrease one dimension, you must increase the other to maintain the same area. This relationship is described by the formula for the area of a rectangle: Area = length x width. Changing the length and width proportionally maintains the overall area constant.


Do these rectangles have the same perimetre- 12 meters x 4 meters and 13 meters x3 meters?

yes (12+4) x 2 = 32 (13+3) x 2 = 32


How many rectangles have the same area and perimeter of 18?

thare is only 1 differint rectangles


Do two different rectangles with the same perimeter necessarily have the same area?

no


If two rectangles have the same area do they also have to have the same perimeter?

Not necessarily. Let's say that there is a circle with the area of 10. Now there is a star with the area of 10. They do not have the same perimeter, do they? That still applies with rectangles. There might be a very long skinny rectangle and a square next to each other with the same area, but that does not mean that they have the same perimeter. Now if the rectangles are congruent then yes.


How can 2 rectangles have the same area?

1x36 and 2x18 is an example


When Key on drew a square with an area of 225 square centimeters what is the perimerter of the square how did you get your answers?

The perimetre is 60cm.Because a perfect square has equal sides, which are in length the square root of the area because multiplying the length of a square by itself gives it's area. So:sqrt(225) = 15cmA square has 4 sides of the same length, so if 1 side is 15cm all 4 sides that form the perimetre must be 15*4=60cm.


Consider the same pairs of rectangles as above what happens to the area?

There's no way for me to answer that question with the information I have, since there are no rectangles "above".


If 2 rectangles have the same area will they always be similar?

No some times


Is there an example of 2 rectangles with the same area but different areas?

No. Many investigators have searched for such an example, but none have found it yet. According to all published research so far, two rectangles with the same area always have the same area. But the search goes on, in many great universities.