No, two rectangles with the same perimeter do not necessarily have the same area. The area of a rectangle is calculated as length multiplied by width, while the perimeter is the sum of all sides. For example, a rectangle with dimensions 2x5 (perimeter 14) has an area of 10, while a rectangle with dimensions 3x4 (also perimeter 14) has an area of 12. Thus, rectangles can have the same perimeter but different areas.
4 by 4 units
they dont
thare is only 1 differint rectangles
yes (12+4) x 2 = 32 (13+3) x 2 = 32
Squares are rectangles so the formula for area will stay the same.
4 by 4 units
they dont
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.
thare is only 1 differint rectangles
no
yes (12+4) x 2 = 32 (13+3) x 2 = 32
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.
1x36 and 2x18 is an example
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.
There's no way for me to answer that question with the information I have, since there are no rectangles "above".
No some times
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.