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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 to
you when you see them that there's something different about them, and they
would not fit one on top of the other.
But if two rectangles have the same area and the same perimeter, then to look at them
you'd swear that they're the same rectangle, and one could be laid down on the other
and fit exactly.
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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.
What is the total perimeter of 6 square feet?
You can't tell the perimeter from the area. There are an infinite number of different shapes,all with different perimeters, that have the same area. Even if you only consider rectangles,there are still an infinite number of those that all have the same area and different perimeters.Here are a few rectangles with area of 6 square feet:Dimensions ... Perimeter0.75 x 8 . . . . . . 17.51 x 6 . . . . . . . . 141.5 x 4 . . .. . . . 112 x 3 . . . . . . . . 10
What is the perimeter of 5000 acres in meters?
You can't tell the linear dimensions from knowing only the area. There are an infinite number of shapes that all have the same area. Even if you consider only rectangles, there are still an infinite number of different rectangles, all with different lengths and widths, that all have areas of 5,000 acres.
How do you determine the area of a rectangle if you know the perimeter?
You can't. The perimeter doesn't tell the area. There are an infinite number of shapes with different dimensions and different areas that all have the same perimeter.
Can you Find 2 rectangles whose dimensions are whole nos and their area and perimeter is same?
4 x 4 and 6 x 3
