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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
How many different rectangles can have an area of 24 square inches if their lengths and widths are whole numbers?
4
How many rectangles have the same area and perimeter of 18?
thare is only 1 differint rectangles
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 different rectangles with an area of 32 square units can you make?
To find the different rectangles with an area of 32 square units, we need to consider the factor pairs of 32. The pairs are (1, 32), (2, 16), (4, 8), and their reverses, giving us the dimensions of the rectangles: 1x32, 2x16, 4x8, and 8x4. However, since the order of dimensions does not create a new rectangle, we have four unique rectangles: 1x32, 2x16, and 4x8. Thus, there are three distinct rectangles with an area of 32 square units.
