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Not at all.
Rectangle A:
-- Length = 20-ft, Width = 10-ft.
-- Area = 200 square ft
-- Perimeter = 60-ft
Rectangle B:
-- Length = 16-ft, Width = 12.5-ft
-- Area = 200 square ft
-- Perimeter = 57-ft
Rectangle C:
-- Length = 40-ft, Width = 5-ft
-- Area = 200 square ft
-- Perimeter = 90-ft
Rectangle D:
-- Length = 50-ft, Width = 4-ft
-- Area = 200 square ft
-- Perimeter = 108-ft
Rectangle E:
-- Length = 100-ft, Width = 2-ft
-- Area = 200 square ft
-- Perimeter = 204-ft
Rectangle F:
-- Length = 800-ft, Width = 3 inches
-- Area = 200 square ft
-- Perimeter = 1600-ft 6-in
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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.
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.
If two squares have the same area must they have the same perimeter?
yes
Can you Find 2 rectangles whose dimensions are whole nos and their area and perimeter is same?
4 x 4 and 6 x 3
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
