Infinitely many.
Suppose the length of the rectangle is L cm where L >= sqrt(24) = 4.899 cm (approx).
Let the breadth of the rectangle be B = 24/L.
Then area = L*B = L*24/L = 24
Since there are infinitely many choices for L, there are infinitely many rectangles.
For example,
5 * 4.8
6 * 4
8 * 3
50* 0.48
60 * 0.4
600 * 0.04
6000 * 0.004
60000 * 0.0004 etc
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The answer is Infinite...The rectangles can have an infinitely small area and therefore, without a minimum value to the area of the rectangles, there will be an uncountable amount (infinite) to be able to fit into that 10 sq.in.
To determine the number of smaller rectangles in an area model representing 27 x 83, you would multiply the number of smaller rectangles along the length and width. In this case, there are 27 smaller rectangles along the length and 83 smaller rectangles along the width. Multiplying these numbers together gives you a total of 27 x 83 = 2241 smaller rectangles in the area model.
technically the number is infinite
That depends on how big the rectangles are.
3 or 6, depending on whether rectangles rotated through 90 degrees are counted as different. The rectangles are 1x12, 2x6 3x4 and their rotated versions: 4x3, 6x2 and 12x1.