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Q: How many different rectangles can you draw with an area of 12 cm2?
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How many different rectangles if the area is 24 cm squared?

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How many different rectangles having an area of 81 square centimeters can you draw if the length and width have an integral value?

They can be: 1 by 81, 3 by 27 and 9 by 9 as integers in cm


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If you restrict yourself to whole numbers, 12 has 3 factor pairs: 1 x 12 2 x 6 3 x 4


How many different rectangles can have an area of 24 square inches if their lengths and widths are whole numbers?

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How many different rectangles with an area of 12 square units can be formed using unit squares?

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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.


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?

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How many different rectangles exist which have whole numbers as the length and width and also have an area of 36 square cm?

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