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To answer that question, look at the formulas for both Let's take a rectangle with length L and width W. The area is LW and the perimeter is 2L+2W
So can LW=2L+2W
Solve for L LW/2=L+W 1/2L(w-2)=w L=(2w)/(W-2)
This tells us the answer is YES. But it also tells us W must be greater than 2. Try W=3, this gives us L= 6/1=6 So look at a 6x3 rectangle Area is 18 and perimeter is 12+6=18
True, but there is an important caveat. The numbers, for the area and perimeter, can be the same but the two cannot be the same. The simple reason is that the area will be in square units whereas the perimeter will be in linear units. The consequnce of this is that if the units of measurement are changed (eg from centimetres to metres, or inches) the equality in numbers will no longer hold.
What else can I help you with?
Why does rectangles have the same area and perimeter?
they dont
If two rectangles have the same perimetre they must have the same area?
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.
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 and perimeter of 18?
thare is only 1 differint rectangles
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! :)
What are some rectangles with the area the same as the perimeter?
A rectangle cannot really have the same area and perimeter because an area is a 2-dimensional concept while a perimeter is 1-dimensional.However, you can have rectangles such that the numericalvalue of their area and perimeter are the same.Take any number x > 2 and let y = 2x/(x-2)Then a rectangle with sides of x and y has an area and perimeter whose value is 2x2/(x-2)
Find 4 rectangles with same area with different perimeter?
10cm by 10cm (perimeter=40cm), 5cm by 20cm (perimeter=50cm), 50cm by 2cm (perimeter=104cm), 100cm by 1cm (perimeter=202cm). All of these rectangles' areas are 100cm2
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.
Is the area the same on all rectangles with the same perimeter?
No, it is not. I'll give you two examples of a rectangle with a perimeter of 1. The first rectangle has dimensions of 1/4x1/4. The area is 1/16. The second rectangle has dimensions of 3/8x1/8. The area is 3/64. You can clearly see that these two rectangles have the same perimeter, yet the area is different.
Do all rectangles with the same area have the same perimeter?
No, rectangles with the same area do not necessarily have the same perimeter. The perimeter of a rectangle depends on both its length and width, while the area is simply the product of these two dimensions. For instance, a rectangle measuring 2 units by 6 units has an area of 12 square units and a perimeter of 16 units, while a rectangle measuring 3 units by 4 units also has an area of 12 square units but a perimeter of 14 units. Thus, different length and width combinations can yield the same area but different perimeters.
Do all rectangles with the same perimeter have the same area?
No. Here are four rectangles with the same perimeter:1 by 6 . . . . . perimeter = 14, area = 62 by 5 . . . . . perimeter = 14, area = 103 by 4 . . . . . perimeter = 14, area = 1231/2 by 31/2 . . perimeter = 14, area = 121/4With all the same perimeter . . . -- The nearer it is to being square, the more area it has.-- The longer and skinnier it is, the less area it has. If somebody gives you some wire fence and tells you to put it uparound the most possible area, your first choice is to put it up ina circle, and your second choice is to put it up in a square. Rectanglesare out, if you can avoid them.
