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Easy.

Rectangle #1: 2-ft x 4-ft

Perimeter = 12-ft

Area = 8 square ft

Rectangle #2: 1-ft x 8-ft

Perimeter = 18-ft.

Area = 8 square ft

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Q: Can two rectangles have the same area but different perimeter?
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Continue Learning about Algebra

How do you work out area in cm2 from perimeter?

If the sides are in cm, then you would multiply the length of the shape by the width, which equals area. And area is in the unit of the sides but squared. So in this example it would be cm2. ========================================= The answer to the question is: You can't. The perimeter doesn't tell you what the area is. You can have two different drawings with the same perimeter and different areas, or with the same area and different perimeters. Even if they're both triangles, or both rectangles, etc. You can't take perimeter and 'work out' area from it.


Is it true that the greater the perimeter the greater the area?

No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.


If two rectangles have the same area do they have the same perimeter too explain how you know?

Not necessarily. For instance If you take two rectangles whose area's are 36in squared. One could be 6 by 6 while the other could be 9 by 4. Thus ones Perimeter would be 24in with the others would be 26in.


What is the area of a rectangle with a perimeter of 42cm?

You can't tell the area from knowing the perimeter. There are an infinite number of different rectangles, all with the same perimeter, that all have different areas. Here are a few rectangles that all have perimeters of 42. The last number after each one is its area: 1 cm by 20 cm . . . . . 20 square centimeters 2 x 19 . . . . . 38 3 x 18 . . . . . 54 4 x 17 . . . . . 68 5 x 16 . . . . . 80 10 x 11 . . . 110


What is the area of a rectangle with a perimeter of 28cm?

You can't tell. The perimeter doesn't tell you the area. There are an infinite number of rectangles that all have the same perimeter but different areas. Here are a few that all have perimeters of 28 cm: 1 x 13 . . . . . Area = 13 2 x 12 . . . . . Area = 24 3 x 11 . . . . . Area = 33 4 x 10 . . . . . Area = 40 5 x 9 . . . . . Area = 45 6 x 8 . . . . . Area = 48 7 x 7 . . . . . Area = 49