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Preimeter is a measure of length, area ... well, of area. You can't really compare the perimeter and the area. If both are equal in one unit (like centimeter vs. square centimeter), they won't be equal in another unit (like meters and square meters).
Anyway, to be numerically equal, you must solve the equation area = perimeter. Assuming dimensions of a times b, the equation becomes:
ab = 2(a+b).
Solving for a:
ab = 2a + 2b
ab - 2a = 2b
a(b-2) = 2b
a = 2b / (b-2)
With this last equation, you can substitute any value for b, and get the corresponding value for a. It seems there are infinitely many solutions.
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∙ 13y ago
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How many rectangles have the same area and perimeter of 18?
thare is only 1 differint rectangles
Why does rectangles have the same area and perimeter?
they dont
How many rectangles have the same area as their perimeter?
The only one I can think of is a square, where Length=Width=4.
How would finding the area of a square be the as finding the area of a rectangle?
Squares are rectangles so the formula for area will stay the same.
How many rectangles have the same area but different perimeters?
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.
How many rectangles have the same area and perimeter of 18?
thare is only 1 differint rectangles
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.
Why does rectangles have the same area and perimeter?
they dont
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 many rectangles have the same area as their perimeter?
The only one I can think of is a square, where Length=Width=4.
How can 2 rectangles have the same area?
1x36 and 2x18 is an example
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
How would finding the area of a square be the as finding the area of a rectangle?
Squares are rectangles so the formula for area will stay the same.
Can different rectangles have the same area and perimeter?
It's very easy for two rectangles to have the same area and different perimeters,or the same perimeter and different areas. In either case, it would be obvious toyou when you see them that there's something different about them, and theywould not fit one on top of the other.But if two rectangles have the same area and the same perimeter, then to look at themyou'd swear that they're the same rectangle, and one could be laid down on the otherand fit exactly.
Can a rectangles perimeter be the same as the area?
Yes, it can because a 3 by 6 rectangle has the perimeter of 18 and has the area of 18! :)
